Probability

Older Homeworks

Homework no. 1 (due Friday, 9/4)

Chapter 1 - Problems
No. 1b, 4, 12
Chapter 1 - Theoretical Exercises
No. 8

Homework no. 2 (due Friday, 9/11)

Chapter 1 - Problems
No. 20, 22, 25, 26, 29
Chapter 1 - Theoretical Exercises
No. 13 (Hint: Use a variant of the trick in Example 4e, page 10.)

Homework no. 3 (due Friday, 9/18)

Chapter 2 - Problems
No. 3, 9, 12ab, 15, 23, 29ab, 30

Homework no. 4 (due Friday, 9/25)

Chapter 2 - Problems
No. 25, 32, 33, 37, 42, 54
Chapter 3 - Problems
No. 1, 4, 6, 7

Homework no. 5 (due Friday, 10/2)

Chapter 3 - Problems
No. 15, 18, 21, 26, 29, 33, 36, 43, 45, 55
Special problem
A probability problem that got very famous in th 90s is the Monty Hall Problem (with many people, including mathematicians, publicly insisting on the incorrect solution as being the correct one!) Formulate its solution in terms of conditional probabilities and Bayes' formula!

Homework no. 6 (due Friday, 10/16)

Chapter 4 - Problems
No. 1, 8ac, 13, 17, 19, 20, 27, 28, 30, 38

Homework no. 7 (due Friday, 10/23)

Chapter 4 - Problems
No. 39, 40, 42, 43, 51, 52, 54, 61, 75, 78
Chapter 4 - Theretical Exercises
No. 16

Homework no. 8 (due Friday, 10/30)

Chapter 5 - Problems
No. 1, 4, 6, 7, 10, 11, 15, 16, 17, 18

Homework no. 9 (due Friday, 11/6)

Chapter 5 - Problems
No. 19, 25, 27, 28, 29, 32, 33, 34, 37, 38, 39

Homework no. 10 (due Friday, 11/13)

Chapter 6 - Problems
No. 1, 9, 10, 13, 14, 18, 20, 21, 23, 28, 32

Homework no. 11 (due Wednesday, 12/9)

Note: The homework is due only on Wednesday of the last week of classes, but you should try to do most of it as we go along with the corresponding material in class. Monday, 12/7 we will have time for questions on the homework in class.

Chapter 7 - Problems
No. 3, 5, 6, 7, 21, 45, 46, 47, 75, 76
Chapter 8 - Problems
No. 1, 2, 3, 4, 5, 7, 14, 15, 22a-c

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