This page last modified on
10 January 2002

Q SCI 381 A

Homework Assignment 3

due January 25, either in class or turned into MGH 306 before 4:00.

View the on-line solution

Work the following problems from your text:

1. Section 3.1, Page 111, #10
2. Section 3.1, Page 112, #14
3. Section 3.1, Page 112, #20
4. Section 3.1, Page 112, #22
5. Section 3.1, Page 113, #26
6. Section 3.2, Page 119, #8
7. Section 3.2, Page 120, #12
8. Section 3.2, Page 122, #18
9. Section 3.2, Page 123, #24 (BONUS #1; use Baye's theorem)
10. Section 3.3, Page 129, #10
11. Section 3.3, Page 131, #16
12. Section 3.4, Page 141, #22
13. Section 3.4, Page 142, #32 (BONUS #2; use combinations)

Extra Credit
(10 pts): The birthday problem:
How many people must be in a room for the chances that AT LEAST 2 will have the same birthday is 0.5?
Explore this question online using Susan Holme's website:
http://www-stat.stanford.edu/~susan/surprise/Birthday.html
Play with her birthday game.
a) make a chart of the number of birthday pair matches with different numbers of people between 15 and 30.
b) Guess the number of people you would need to have 3 people having the same birthday with a reasonable probability. Give your rationale.