# Spring 2013 - Math 407 - Probability Theory

`Quentin Berger - Office KAP 424Cemail: qberger@usc.eduOffice hours: Mon, Wed, Thu. 2-3.30pmClass: 12:00-12:50pm, MWF, GFS101Textbook: A first course in Probability (8th edition). S. RossDiscussion: Tue and Thu, 11:00-11:50am or 12:00-12:50pm, KAP165TA: John Pike - jpike@usc.eduSyllabus`
• ### FINAL EXAM

Friday, May 10 - GFS 106

Some mor practice problems (9 and 10 are harder...)
final407.sample.pdf

• ### Sample of finals

sample.final1.pdf

sample.final2.pdf

• ### 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`
`Self-test problems: 4, 8, 10, 13, 16`
` `
`Chapter 6:`
`Problems: 8, 9, 10, 15, 16, 17, 18, 19, 26, 27, 28, 44, 52`
`Self-test 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)

WeekProblem7.pdf

• ### Practice problems for Quiz #7 (March 12)

Chapter 5:

p224: 14-16-17-18-32-33-37-38-39

p229: 9-11-13-14-15

• ### Correction of Midterm #1

407Midterm1Correction.pdf

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

WeekProblem6.pdf

• ### 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)

WeekProblem5.pdf

• ### 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)

WeekProblem4.pdf

• ### 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)

WeekProblem3.pdf

• ### 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 90089-2532