25_21_C-Term MA 2621 Probability with Applications MRJ

Course Modules

Sylllabus and Introduction

Sylllabus and Introduction Sylllabus and Introduction

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Syllabus Syllabus 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

HW Solutions

HW Solutions HW Solutions

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HW #1 Solution HW #1 Solution 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #2 Solutions HW #2 Solutions 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #3 Solutions HW #3 Solutions 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #4 Solutions HW #4 Solutions 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #5 Solutions HW #5 Solutions 5

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #6 Solutions HW #6 Solutions 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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HW #7 Solutions HW #7 Solutions 7

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Practice Test and Test Solutions

Practice Test and Test Solutions Practice Test and Test Solutions

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Practice Test 1 and Solutions Practice Test 1 and Solutions 1

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Test 1 Solutions Test 1 Solutions 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Practice Test 2 with solution Practice Test 2 with solution 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Test 2 Solutions Test 2 Solutions 5

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Practice Test 3 Practice Test 3 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Test 3 Solutions Test 3 Solutions 7

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Active Learning Session Notes

Active Learning Session Notes Active Learning Session Notes

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Active Learning Session 1 with Recording (R, 1/28) Active Learning Session 1 with Recording (R, 1/28) 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 2 with Recording (M, 2/1) Active Learning Session 2 with Recording (M, 2/1) 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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7-card draw Full House (M, 2/1) 7-card draw Full House (M, 2/1) 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Tool

Ex) 7-card draw Full House Ex) 7-card draw Full House 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 3 with Recording (R, 2/4) Active Learning Session 3 with Recording (R, 2/4) 5

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 4 with recording (M, 2/8) Active Learning Session 4 with recording (M, 2/8) 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 6 with recording (M, 2/15) Active Learning Session 6 with recording (M, 2/15) 7

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 7 with Recording (R, 2/18) Active Learning Session 7 with Recording (R, 2/18) 8

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 8 with Recording (M, 2/21) Active Learning Session 8 with Recording (M, 2/21) 9

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 9 with Recording (R, 2/25) Active Learning Session 9 with Recording (R, 2/25) 10

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 10 with Recording (M, 3/1) Active Learning Session 10 with Recording (M, 3/1) 11

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 12 with Recording (M, 3/8) Active Learning Session 12 with Recording (M, 3/8) 12

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 13 with Recording (R, 3/11) Active Learning Session 13 with Recording (R, 3/11) 13

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Active Learning Session 14 with Recording (M, 3/15) Active Learning Session 14 with Recording (M, 3/15) 14

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Office Hours

Office Hours Office Hours

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Office Hour, F 1/29 Office Hour, F 1/29 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T 2/2 Office Hour, T 2/2 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, F 2/5 Office Hour, F 2/5 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T 2/9 Office Hour, T 2/9 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T, 2/16 Office Hour, T, 2/16 5

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, F, 2/19 Office Hour, F, 2/19 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T, 2/23 Office Hour, T, 2/23 7

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, F, 2/26 Office Hour, F, 2/26 8

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T, 3/2 Office Hour, T, 3/2 9

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour #2, T, 3/2 (Test #2 Review) Office Hour #2, T, 3/2 (Test #2 Review) 10

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour T 3/9 Office Hour T 3/9 11

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, F, 3/12 Office Hour, F, 3/12 12

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, M, 3/15 (Test 3 Review) Office Hour, M, 3/15 (Test 3 Review) 13

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Office Hour, T, 3/16 Office Hour, T, 3/16 14

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Conference Notes

Conference Notes Conference Notes

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Alex's Section 1 Conference Notes Alex's Section 1 Conference Notes 1

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Lingli's Section 2 Conference Notes Lingli's Section 2 Conference Notes 2

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Shundong's Section 4 Conference Notes Shundong's Section 4 Conference Notes 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Shuaichuan(Felix)'s Section 5 Conference Notes Shuaichuan(Felix)'s Section 5 Conference Notes 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Doug's Section 6 Conference Notes Doug's Section 6 Conference Notes 5

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Week 1 (Chapter 1-2)

Week 1 (Chapter 1-2) Week 1 (Chapter 1-2)

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Week 1 Outline (R, 1/28 - T, 2/2) Week 1 Outline (R, 1/28 - T, 2/2) 1

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Page

Chapter 1 Files Chapter 1 Files 2

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Chapter 2 Files Chapter 2 Files 3

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Day 1: R, 1/28 4

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Introducing MA 2621 C21 - See Syllabus also (19 min) Introducing MA 2621 C21 - See Syllabus also (19 min) 5

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1.1 Intro to Combinatorics (6 min) 1.1 Intro to Combinatorics (6 min) 6

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1.2 Basic Principle of Counting (16 min) 1.2 Basic Principle of Counting (16 min) 7

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Context Module Sub Header

Day 2: F, 1/29 8

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1.3 Permutations (9 min) 1.3 Permutations (9 min) 9

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1.4 Combinations (17 min) 1.4 Combinations (17 min) 10

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Ch 1 : #10 (14 min) Ch 1 : #10 (14 min) 11

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Ch 1 : #21 (11 min) Ch 1 : #21 (11 min) 12

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Context Module Sub Header

Day 3: M, 2/1 13

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2.1 Outcomes and Events (15 min) 2.1 Outcomes and Events (15 min) 14

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2.2.1 Three-Set Addition Rule (13 min) 2.2.1 Three-Set Addition Rule (13 min) 15

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2.2.2 DeMorgan's Law and Total Probability (15 min) 2.2.2 DeMorgan's Law and Total Probability (15 min) 16

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Context Module Sub Header

Day 4: T, 2/2 (HW #1 due date W, 2/3) 17

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2.3 Mutually Exclusive and Exhaustive Sets (8 min) 2.3 Mutually Exclusive and Exhaustive Sets (8 min) 18

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2.4 Addition Rule Revisited (7 min) 2.4 Addition Rule Revisited (7 min) 19

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2.5 Sampling with and without Replacement (16 min) 2.5 Sampling with and without Replacement (16 min) 20

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Ch 2: #42 (9 min) Ch 2: #42 (9 min) 21

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Ch 2: #44 (7 min) Ch 2: #44 (7 min) 22

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Week 2 (Chapter 3)

Week 2 (Chapter 3) Week 2 (Chapter 3)

Page

Week 2 Outline Week 2 Outline 1

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Chapter 3 Files Chapter 3 Files 2

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Context Module Sub Header

Day 5: R, 2/4 3

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3.1 Contingency Table (14 min) 3.1 Contingency Table (14 min) 4

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3.2 Dice and Conditional Probability (9 min) 3.2 Dice and Conditional Probability (9 min) 5

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3.2 Multiplication Rule (8 min) 3.2 Multiplication Rule (8 min) 6

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3.2 Reducing the Sample Space (11 min) 3.2 Reducing the Sample Space (11 min) 7

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Context Module Sub Header

Day 6: F, 2/5 8

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3.3 Bayes's Rule and Total Probability (13 min) 3.3 Bayes's Rule and Total Probability (13 min) 9

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3.3 [Edited] False Positive, Sensitivity and Specificity (16 min) 3.3 [Edited] False Positive, Sensitivity and Specificity (16 min) 11

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External Tool

Ch 3: #16 (5 min) Ch 3: #16 (5 min) 13

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Context Module Sub Header

Day 7: M, 2/8 14

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3.4 Independence with Contingency Table (11 min) 3.4 Independence with Contingency Table (11 min) 15

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3.4 Product Rule and Indepedence (9 min) 3.4 Product Rule and Indepedence (9 min) 16

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3.5 Conditional Total Probability (18 min) 3.5 Conditional Total Probability (18 min) 17

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Context Module Sub Header

Day 8: T, 2/9 : HW #2 due date 18

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Week 3 (Chapter 4)

Week 3 (Chapter 4) Week 3 (Chapter 4)

Page

Week 3 Outline (Week F, 2/12-W, 2/17) Week 3 Outline (Week F, 2/12-W, 2/17) 1

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Page

Chapter 4 Notes Chapter 4 Notes 2

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Context Module Sub Header

Day 9 : R, 2/11 : Test 1 3

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Context Module Sub Header

Day 10: F, 2/12 4

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External Tool

4.1 Probability Distribution of Random Variable (13 min) 4.1 Probability Distribution of Random Variable (13 min) 5

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4.2-4.3 Probability Mass Function and Expected Value (6 min) 4.2-4.3 Probability Mass Function and Expected Value (6 min) 6

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External Tool

4.5 Long Run Behavior and Calculating Variance (17 min) 4.5 Long Run Behavior and Calculating Variance (17 min) 7

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Context Module Sub Header

Day 11: M, 2/15 8

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External Tool

4.6 Independent Bernoulli Trials (10 min) 4.6 Independent Bernoulli Trials (10 min) 9

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4.6 Applying the Binomial Formula (10 min) 4.6 Applying the Binomial Formula (10 min) 10

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External Tool

4.6 Excel for Binomial Distribution (20 min) 4.6 Excel for Binomial Distribution (20 min) 11

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Context Module Sub Header

Day 12: T, 2/16 : HW #3 due date W, 2/17 12

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4.7 Poisson Distribution (14 min) 4.7 Poisson Distribution (14 min) 13

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4.10 Cumulative Functions (16 min) 4.10 Cumulative Functions (16 min) 14

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Week 4 (Chapter 5)

Week 4 (Chapter 5) Week 4 (Chapter 5)

Page

Week 4 Outline Week 4 Outline 1

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Page

Chapter 5 Notes Chapter 5 Notes 2

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Context Module Sub Header

Day 13: R, 2/18 3

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5.1.1 PDF for Continuous Random Variables (11 min) 5.1.1 PDF for Continuous Random Variables (11 min) 4

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5.1.2 CDF and Constants (14 min) 5.1.2 CDF and Constants (14 min) 5

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5.2.1 Expected Value (8 min) 5.2.1 Expected Value (8 min) 6

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5.2.2 Variance (8 min) 5.2.2 Variance (8 min) 7

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Context Module Sub Header

Day 14: F, 2/19 8

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5.4.1 Introduction to the Normal Distribution (12 min) 5.4.1 Introduction to the Normal Distribution (12 min) 9

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5.4.2 Empirical Rule (11 min) 5.4.2 Empirical Rule (11 min) 10

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External Tool

5.4.3 Invert Process (17 min) 5.4.3 Invert Process (17 min) 11

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Context Module Sub Header

Day 15: M, 2/22 12

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External Tool

5.4.1.1 Binomial starts to Normalize (17 min) 5.4.1.1 Binomial starts to Normalize (17 min) 13

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5.4.1.2 Applying a Normal Approximation (12 min) 5.4.1.2 Applying a Normal Approximation (12 min) 14

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External Tool

5.3 Uniform Distribution (13 min) 5.3 Uniform Distribution (13 min) 15

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Context Module Sub Header

Day 16: T, 2/23 : HW #4 due date W, 2/24 16

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External Tool

5.5 Exponential Distribution with Mean and Median Discussion (19 min) 5.5 Exponential Distribution with Mean and Median Discussion (19 min) 17

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External Tool

5.6.2 Weibull Distribution (15 min) 5.6.2 Weibull Distribution (15 min) 19

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Week 5 (Chapter 6)

Week 5 (Chapter 6) Week 5 (Chapter 6)

Page

Week 5 Outline Week 5 Outline 1

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Page

Chapter 6 Notes Chapter 6 Notes 2

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Context Module Sub Header

Day 17: R, 2/25 3

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External Tool

6.1.1 Joint Discrete Distributions (16 min) 6.1.1 Joint Discrete Distributions (16 min) 4

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External Tool

6.1.2 Joint and Marginal Densities (9 min) 6.1.2 Joint and Marginal Densities (9 min) 5

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External Tool

6.1.3 Joint Probability Function (10 min) 6.1.3 Joint Probability Function (10 min) 6

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Context Module Sub Header

Off Day: F, 2/26 7

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Context Module Sub Header

Public Calc IV page (if needed): https://canvas.wpi.edu/courses/19934 or 13130 8

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Context Module Sub Header

Day 18: M, 3/1 9

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External Tool

6.5.1 Conditional Density Functions (9 min) 6.5.1 Conditional Density Functions (9 min) 10

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External Tool

7.5 Conditional Expectation and Variance (13 min) 7.5 Conditional Expectation and Variance (13 min) 11

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External Tool

6.2.1 Independent Random Variables (15 min) 6.2.1 Independent Random Variables (15 min) 12

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Context Module Sub Header

Day 19: T, 3/2 : HW #5 due date 14

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Week 6 (Chapter 7)

Week 6 (Chapter 7) Week 6 (Chapter 7)

Page

Week 6 Outline Week 6 Outline 1

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Page

Chapter 8, 10 Notes Chapter 8, 10 Notes 2

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Day 20: R, 3/4 : Exam #2 3

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Context Module Sub Header

Day 21: F, 3/5 4

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External Tool

10.2 Inverse Transformation Method (14 min) 10.2 Inverse Transformation Method (14 min) 5

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External Tool

10.2.2 Empirical Rule with Normal Random Number Generation (9 min) 10.2.2 Empirical Rule with Normal Random Number Generation (9 min) 6

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External Tool

8.2.1 Chebyshev's Theorem (17 min) 8.2.1 Chebyshev's Theorem (17 min) 7

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Context Module Sub Header

Day 22: M, 3/8 8

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External Tool

8.3.1 The Standard Error for Sample Means (17 min) 8.3.1 The Standard Error for Sample Means (17 min) 9

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External Tool

8.3.2 Central Limit Theorem (17 min) 8.3.2 Central Limit Theorem (17 min) 10

context_external_tool 554427 0

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Context Module Sub Header

Day 23: T, 3/9 : HW #6 due date W, 3/10 11

context_module_sub_header 521987 0

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External Tool

8.3.3 CLT for Sum of iid R.V.s (9 min) 8.3.3 CLT for Sum of iid R.V.s (9 min) 12

context_external_tool 555531 0

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External Tool

8.3.4 Calculations for a Truck of Gizmos (iid Sum of RV) (13 min) 8.3.4 Calculations for a Truck of Gizmos (iid Sum of RV) (13 min) 13

context_external_tool 555529 0

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External Tool

8.4 Understanding Long Run Variation (10 min) 8.4 Understanding Long Run Variation (10 min) 14

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Week 7 (Chapter 5 and 9)

Week 7 (Chapter 5 and 9) Week 7 (Chapter 5 and 9)

Page

Week 7 Outline Week 7 Outline 1

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Page

Chapter 5 and 9 notes Chapter 5 and 9 notes 2

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Context Module Sub Header

Day 24: R, 3/11 3

context_module_sub_header 521980 0

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External Tool

9.2.1 Transition Matrix for a Markov Chain (12 min) 9.2.1 Transition Matrix for a Markov Chain (12 min) 4

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External Tool

9.2.2 MATLAB for Markov Chain (17 min) 9.2.2 MATLAB for Markov Chain (17 min) 5

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External Tool

5.6.2 Gamma Function using Two Parameters (16 min) 5.6.2 Gamma Function using Two Parameters (16 min) 6

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Context Module Sub Header

Day 25: F, 3/12 7

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External Tool

5.6.4 Beta Distribution and E(X) and SD(X) (22 min) 5.6.4 Beta Distribution and E(X) and SD(X) (22 min) 8

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External Tool

5.6.3.1 Cauchy Distribution (15 min) 5.6.3.1 Cauchy Distribution (15 min) 9

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External Tool

5.6.3.2 More Cauchy Distribution (9 min) 5.6.3.2 More Cauchy Distribution (9 min) 10

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Context Module Sub Header

Day 26: M, 3/15 11

context_module_sub_header 521982 0

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External Tool

5.7.1 Linear Function of a Uniform Random Variable (11 min) 5.7.1 Linear Function of a Uniform Random Variable (11 min) 12

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External Tool

5.7.2 Handling a Square Root Transform (13 min) 5.7.2 Handling a Square Root Transform (13 min) 13

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External Tool

5.7.3 The Monotonic Theorem (8 min) 5.7.3 The Monotonic Theorem (8 min) 14

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Context Module Sub Header

Day 27: T, 3/16 : HW #7 due date (No lates) 15

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Context Module Sub Header

Day 28: Exam 3 - Your choice W, 3/17 5pm or R, 3/18 9am 16

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This course content is offered under a Public Domain license. Content in this course can be considered under this license unless otherwise noted.

25_21_C-Term MA 2621 Probability with Applications MRJ

Course Modules

Sylllabus and Introduction

HW Solutions

Practice Test and Test Solutions

Active Learning Session Notes

Office Hours

Conference Notes

Week 1 (Chapter 1-2)

Day 1: R, 1/28 4

Day 2: F, 1/29 8

Day 3: M, 2/1 13

Day 4: T, 2/2 (HW #1 due date W, 2/3) 17

Week 2 (Chapter 3)

Day 5: R, 2/4 3

Day 6: F, 2/5 8

Day 7: M, 2/8 14

Day 8: T, 2/9 : HW #2 due date 18

Week 3 (Chapter 4)

Day 9 : R, 2/11 : Test 1 3

Day 10: F, 2/12 4

Day 11: M, 2/15 8

Day 12: T, 2/16 : HW #3 due date W, 2/17 12

Week 4 (Chapter 5)

Day 13: R, 2/18 3

Day 14: F, 2/19 8

Day 15: M, 2/22 12

Day 16: T, 2/23 : HW #4 due date W, 2/24 16

Week 5 (Chapter 6)

Day 17: R, 2/25 3

Off Day: F, 2/26 7

Public Calc IV page (if needed): https://canvas.wpi.edu/courses/19934 or 13130 8

Day 18: M, 3/1 9

Day 19: T, 3/2 : HW #5 due date 14

Week 6 (Chapter 7)

Day 20: R, 3/4 : Exam #2 3

Day 21: F, 3/5 4

Day 22: M, 3/8 8

Day 23: T, 3/9 : HW #6 due date W, 3/10 11

Week 7 (Chapter 5 and 9)

Day 24: R, 3/11 3

Day 25: F, 3/12 7

Day 26: M, 3/15 11

Day 27: T, 3/16 : HW #7 due date (No lates) 15

Day 28: Exam 3 - Your choice W, 3/17 5pm or R, 3/18 9am 16