HOMEWORK ASSIGNMENTS FOR STATISTICS 435, Fall 2008

NOTE: ``Exercises'' refer to *Theoretical Exercises* in the text.


Assignment 1: Due Tuesday 26 August

Reading: Chapter 1 and Chapter 2

Chapter 1: Problems 1,8,10,19 and Exercises 11, 13

Chapter 2: Problems 1,5,6,8,13a-d,15a-d and Exercises 1,2


Assignment 2: Due Tuesday 2 September

Reading: Chapters 2 and 3

Chapter 2: Problems 27,28,38  Exercises 3 (first relation only), 6(a)-(e), 13 (Hint: use exercise 3)

Chapter 3: Problem 1,2,5,8,12  Exercise 1,2


Assignment 3: Due Tuesday 9 September

Reading: Chapters 3 and 4

Chapter 3: Problems 47, 52a-d, 58a, 59, 66, 73a-c  Exercises 6, 7a, 9, 25  
 
Chapter 4: Problems 1, 2, 13, 21


Assignment 4: Due Tuesday 16 September

Reading: Chapter 4, 

Chapter 4: Problems 22a, 27, 32, 33, 35, 38, 40, 48

Exercises: 8, 9 


Assignment 5: *Due FRIDAY 19 September* by 4:30pm in the 
Zhitao Zhang's mailbox (in 310 Hanes Hall).

Reading: Chapter 4

Chapter 4: Problems 23, 45, 50, 54, 57, 58a,b

Exercises: 16, 19, 27, 28, 32


Assignment 6: Due Tuesday 7 October

Reading: Chapter 5

Chapter 5: Problems 1, 2, 4, 6, 7, 10, 11, 12, 13, 32, 33, 34 

Exercise 5, 8, 11, 14 


Assignment 7: Due Tuesday 14 October

Reading: Chapters 5 and 6

Chapter 5: Problems 15, 18, 19, 26, 28, 29, 31 

Exercise 9, 10, 12, 18, 19, 25


Assignment 8: Due Tuesday 21 October

Reading: Chapter 6

Chapter 6: Problems 1(a,b), 2a, 7, 9, 10


Assignment 9: Due Tuesday 28 October

Reading: Chapter 6

Chapter 6: Problems 13, 15 16, 20, 21(a,b), 27, 31, 32, 39, 41

Exercise 5, 7, 9


Assignment 10: Due *FRIDAY 31 October*, by 5pm in the TAs mailbox

Reading: Chapter 6

Chapter 6: Problems 42, 54, 56a,b,   

Exercise 11 (do this for 3 variables only), 15, 17c, 18a


Assignment 11: Due Tuesday 11 November

Reading: Chapter 7

Chapter 7: Problems 5, 6, 7, 8, 11, 17, 22, 30, 33


Assignment 12: Due Tuesday 18 November

Reading: Chapter 7,8

Chapter 7: Problems 34, 39, 45, Exercise 1, 2, 4

Chapter 8: Problems 1, 2, 4


Assignment 13: Due Tuesday 2 December

Reading: Chapter 8

Chapter 8: Problems 6,7, 13a-c,19,20 [Hint: For the second inequality
consider the identity X^2 = (X^3)^(2/3) where ^ denotes 
exponentiation.] 

Exercise 3, 6a, 7, 8, 13

Additional problem: Suppose that a fair coin is flipped 50 times.  Find 
bounds on the following probabilities using the one-sided Chebyshev and 
Hoeffding inequalities. 

a. The probability that one sees at least 30 heads.

b. The probability that one sees fewer than 19 heads.