HOMEWORK ASSIGNMENTS FOR STOR 435, SPRING 2010

NOTES: 

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

Assignments marked ``preliminary'' may have additional problems
added later (no problems will be removed).

Numbers in square brackets [] refer to problems from the 7'th 
edition of the text, when there is a difference between the
7th and the 8th.  So ``4 [6]'' means that you should do problem
4 if you have the most recent (8th) edition, and do problem 6
if you have the 7th.


Assignment 1: Due Tuesday 19 January [FINAL -- no new problems]

Reading: Chapter 1 and Chapter 2

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

Chapter 2: Problems 1,5,6,8


Assignment 2: Due Tuesday 26 January [FINAL -- no new problems]

Reading: Chapter 2 and Chapter 3

Chapter 2: Problems 13a-d, 15a-d, 27, 28, 38  
           Exercises 1, 2, 3 (first relation only), 6(a)-(e), 
           13 (Hint: use exercise 3)

Chapter 3: Problems 1, 2, 5, 8 and Exercise 1,2


Assignment 3: Due Tuesday 2 February [FINAL]

Reading: Chapter 3 and Chapter 4

Chapter 3: Problems 12, 47, 52a-d, 58a, 59, 66 [Note: see fig. 3.4 on p.108], 73a-c  
           Exercises 6, 7a, 9, 25

Chapter 4: Problems 1, 2, 4, 7, 13


Assignment 4: DUE FRIDAY 12 February at 4:30pm in Sunyoung Shin's mailbox,
310 Hanes Hall [FINAL]

Reading: Chapter 4

Chapter 4: Problems 22a, 23, 27, 32, 33, 35, 38, 40, 48, 45, 50, 48, 49a, 57, 75 

Exercises: 4 [6], 6 [8], 7 [9], 27, 28, 
  31 (just find the possible values of X and the pmf for 0, 1, and 2).

Hint for 4: In order to exchange the sums you need to remove the
index i from the second sum.  To do this, let the second sum run
from 1 to infinity, and replace the summand P(N=k) by 
P(N=k) I(k >= i), where I() is 1 if the statement in () is true,
and zero otherwise.


Assignment 5: Due Tuesday 22 February [Final]

Reading: Chapter 4 and 5

Chapter 4: Problems 54, 58  Exercises: 13, 16, 19, 32

Chapter 5: Problems 1, 2, 4



Assignment 6: Due Tuesday 29 February [Final]

Reading: Chapter 5

Chapter 5: Problems 6, 7, 10, 11, 12, 13, 32, 33, 34  
Exercises: 5, 8, 12 [11], 15 [14]



Assignment 7: Due Tuesday 16 March [Final]

Reading: Chapter 5 and Chapter 6

Chapter 5: Problems 15, 18, 19, 26, 28, 29, 31 
Exercises 9, 10, 13 [12], 19 [18], 20 [19], 26 [25]



Assignment 8: Due Tuesday 23 March [Final]

Reading: Chapter 6

Chapter 6: Problems 1(a,b), 2a, 7, 9, 10, 13, 15, 16, 20, 21(a,b), 
23(a,b,d) 

Exercises: 5, 9, 11 (do this for 3 variables only)



Assignment 9: Due FRIDAY 26 March in Mailroom by 4pm [Final]

Reading: Chapter 6

Chapter 6: Problems 29 [32], 33 [31], 38 [39], 40 [41], 41 [42]

Exercises: 7, 16 [15] (analytical argument only), 19(b,c) [17(b,c)], 20a [18a]



Assignment 10: Due Tuesday 6 April [Final]

Reading: Chapters 6 and 7

Chapter 6: 55 [54], 57(a,b) [56(a,b)]  



Assignment 11: Due Tuesday 13 April [Final]

Reading: Chapter 7

Chapter 7: Problems 5, 6, 8, 11, 17, 22, 30, 33   Exercise 1, 2



Assignment 12: Due Tuesday 20 April [Final]

Reading: Chapter 7 and Chapter 8

Chapter 7: Problems 34, 39, 45   Exercise 4, 7, 10 [Hint: use symmetry to handle the case k=1, then use additivity and symmetric for k > 1.  No extensive calculations are necessary.]

Chapter 8: Problems 1, 2



Assignment 13: Due Tuesday 27 April [Final]

Reading: Chapter 8

Chapter 8: Problems 4, 6, 7, 13a-c, 20 [19], 21 [20] [Hint: For the second inequality
consider the identity X^2 = (X^3)^(2/3) where ^ denotes 
exponentiation.] 

Exercise 3, 6a, 7, 8, 13