# MATH 2030 3.0AF (Elementary Probability) Assignments - Fall 2008

Assignments and their solutions will be posted here as they become available.

### Assignment 6

See Prof. Kuznetsov's 2030 webpage

### Practice problems

These problems were posted during the strike, for students wishing to work ahead on their own. Some will form part of Prof. Kuznetsov's assignments.
• Section 2.4, numbers 4, 5
• Section 2.5, number 9b
• Section 3.1, number 15
• Section 3.3, numbers 3, 12, 17
• Section 3.4, numbers 2, 4, 12ad
• Section 3.5, numbers 4, 6, 10ab, 11
• Section 4.1, number 9
• Section 4.2, numbers 1, 3bc, 4abc
Solutions.

### Assignment 5, due Wednesday, February 4, 2009 (by 5pm).

Originally due November 5, 2008. Because of the Senate amnesty declared for students participating in the Nov 5 YFS fee protest, the due date was extended to Nov 6th. And then because of the strike, the due date was extended further.
• Section 3.2, numbers 8, 14
• Section 3.3, numbers 2, 5, 8bc
• Section 4.1, numbers 2bc, 3e
Solutions.

### Assignment 4, due Wednesday, October 29, 2008 (by 5pm)

• Section 2.1, number 6
• Section 2.2, numbers 8, 9
• Section 4.4, numbers 4, 10a.
In 4 I want you to compute the cdf first, and then the density. In 10a I want you to relate the cdf to the standard normal cdf, and then take derivatives.
Solutions.

### Assignment 3, due Wednesday, October 8, 2008 (by 5pm)

• Section 1.5, numbers 3, 6ac
• The Monty Hall problem: You are playing a game show, in which there are prizes behind three doors. One prize is good (eg a car), and the others aren't (eg. a goat and a rabbit). Once you pick a door, the host will open one of the other doors, showing you a bad prize. And he will ask you if you want to switch your choice. Should you?

The argument against is that since he always opens a door, he hasn't really given you any information that would favour one door over the other. So both remaining doors are equally likely to be correct (conditional prob 1/2 each), and there is no point in switching. The argument for switching is that you have no new information about your original choice. So the probability you picked correctly in the first place is unchanged at 1/3, and the (conditional) probability the other door is correct is now 2/3. Which is right?

• Section 4.1, numbers 3ab, 4a, 12a
• Section 4.5, numbers 2a, 5, 6ab
Solutions.

### Assignment 2, due Monday, September 29, 2008 (by 5pm)

• Section 1.4, numbers 4, 5, 6, 7, 8
• Section 1.6, numbers 4, 6, 7, 8
Solutions.

### Assignment 1, due Wednesday, September 17, 2008 (by 5pm)

• Section 1.1, numbers 3, 7
• Section 1.3, numbers 2, 4, 5, 6, 9
• Appendix I, numbers vii, viii, x, xii, xiii
Solutions.