Spring 2013  Math 407  Probability Theory
Quentin Berger  Office KAP 424C
email: qberger@usc.edu
Office hours: Mon, Wed, Thu. 23.30pm
Class: 12:0012:50pm, MWF, GFS101
Textbook: A first course in Probability (8th edition). S. Ross
Discussion: Tue and Thu, 11:0011:50am or 12:0012:50pm, KAP165
TA: John Pike  jpike@usc.edu
Syllabus

FINAL EXAM
Friday, May 10  GFS 106
Some mor practice problems (9 and 10 are harder...)
final407.sample.pdf 
Sample of finals

Practice problems for Central Limit Theorem
Chapter 8: Problems 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16
(Hint for 9: look at the last paragraph of p.215) 
Collected Homework, April 23
Ch. 7: Problems 40 and 42

Practice problems on Ch. 7
21, 23, 24, 30, 31, 32, 33, 36, 37, 38, 41, 46

Collected Homework, April 16
Ch. 7: Problems 5 and 16

Practice problems on Ch. 7
1, 3, 4, 6, 9, 11, 14, 16, 22, 26

Some other (suggested) practice problems for Midterm #2
Chapter 5:
Problems: 10, 12, 15, 19, 21, 22
Theoretical: 9, 10, 11, 31
Selftest problems: 4, 8, 10, 13, 16
Chapter 6:
Problems: 8, 9, 10, 15, 16, 17, 18, 19, 26, 27, 28, 44, 52
Selftest problems: 1, 3, 5, 8, 15

Practice problems for Midterm #2
PracticeMid2.pdf (you can also pick some problems at random in the book)

Problem of the week #8 (collected on March 26)
weekproblem8.pdf (no quiz on March 26, grade is only on homework)

Problem of the week #7 (collected on March 12)

Practice problems for Quiz #7 (March 12)
Chapter 5:
p224: 141617183233373839
p229: 911131415

Correction of Midterm #1

Problem of the week #6 (collected on March 7)

Practice problems for Quiz #6 (March 7)
Chapter 5:
p224: 1 to 8, 11, 13
p229: 1, 2, 3

Problem of the week #5 (collected on Feb. 19)

Practice problems for Quiz #5 (Feb. 19)
Chapter 4: p173  11, 15, 16, 18, 65, 84, 85
Chapter 3: p102  1, 2, 4, 7, 8, 20, 22, 26

Problem of the week #4 (collected on Feb. 12)

Practice problems for Quiz #4 (Feb. 12)
Chapter 4:
p173 (problems): 5, 6, 7, 8, 13, 20, 21, 26, 30, 31, 35, 37, 41

Problem of the week #3 (collected on Feb. 5)

Practice problems for Quiz #3 (Feb. 5)
Chapter 2:
 p55: 5, 6, 7, 17
 p56: 2, 6, 8, 15, 17, 18, 20

Problem of the week (collected on Jan. 29)A and B take turns rolling two dices. The first one to get a sum larger or equal than 10 wins. What is the probability of having a sum larger than 10 (at the first roll)? Find the probability that the game lasts exactly k turns. If A flips first, then B, then A, then B, etc... what is the probability that A wins? that B wins?

Practice problems for Quiz #2 (Jan. 29)
Chapter 2:
 p51: 2, 3, 4, 11, 24, 25 p55: 8, 9, 12, 15, 18 
Problem of the week (due for Jan. 22)
During a game show, a player is presented three boxes. One of them contains 10000 dollars, and only the presenter knows which one. The player picks one box, but before he can open it, the presenter stops him, and opens one of the other 2 boxes, an empty one (the game is always like this). Then, the player can choose either to maintain his choice, or to open the remaining box. Is one of the options better than the other?

Practive Problems for Quiz #1 (Jan. 22)
Chapter 1:  p18: 5, 11, 13  p20: 12, 17
Chapter 2:  p51: 15, 16, 37  p55: 11, 12  p57: 3, 14
 Quentin Berger
 USC, Department of Mathematics
 3620 S. Vermont Ave, KAP 108
 Los Angeles, California 900892532
 Phone: (213) 821  1628
 Email: qberger@usc.edu