M 362K Probability ,
Unique# 56265 - Fall 2012
Homework assignments
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to M362K page)
Homework 1-
Due date: Tuesday September 11
Chapter
1 : Section (1.1) - Page 9: 2, 5, 7, 8,
Section
(1.3) - Page 30 : 2, 3, 6, 8, 10, 14,
Homework 2 -
Due date: Thursday September 20
Section
(1.4) - Page 45 : 2, 5, 6, 8, 9
Extra problem: Show that if A and B are independent events,
then A and Bc are also independent.
Page 45 :
4, 10,
Review Exercises
- Page 74 : 4, 5,
Section(1.5) - Page 53 : 2, 3, 5, 6 ,
Homework 3 -
Due date: Thursday October 4th
Section
(1.6) - Page 70 : 2, 3, 5, 6, 7
Combinatorics and applications to Probability (A.1)
Page 513 :
(i), (vii), (viii), (xi), (xii), (xiii), (xiv).
Page 132 : 6, 16, 17,
Chapter 2 - Section(2.1) - Page 90 : 1, 2, 4, 5, 11 ,
Page 132: 8.
Homework 4 -
Due date: Tuesday October 23th
Chapter 2 - Section
(2.2) - Page 108 : 1, 3, 6, 9, 12, 13
Chapter 2 review problem -
Page 134 : 22.
Section(2.4) - Page 121 : 2, 3, 6, 7, 8.
Homework 5 -
Due date: Thursday October 25th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Please keep answers organized in the same order the problems have been assigned.
Chapter 3 - Section (3.1) - Page 158 : 1, 2, 3, 4, 6, 10, 11
Homework 6 -
Due date: Tuesday November 6th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 3 - Section (3.1) - Page 160 : 13, 15, 16, 20, 21,
Extra problem: (solve this problem before you work out problem 20 and 21) Let Y and Y be independent Bernoulli(1/2) random variables, and define
Z=0 if X=Y or Z=1 if X is different from Y.
Show that X, Y and Z are pairwise independent, but are not independent as a group of random variables.
(Note: This is identical to example 1.6.8 , now stated in the language of random variables!)
Use the solution of this problem to answer problem 20.
Homework 7 -
Due date: Thursday, November 8th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 3 - Section (3.2) - Page 182 : 2, 3, 4, 6, 7, 10, 14, 21
Homework 8 -
Due date: Thursday, November 15th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 3 - Section (3.3) - Page 202 : 2, 3, 4, 6, 14, 17, 24 a) & b)
Page 250 : 6
Chapter 3 - Section (3.4) - Page 218 : 1, 3, 10
,
Homework 9 -
Due date: Tuesday, November 20th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 3 - Section (3.5) - Page 234 : 1, 2, 4, 5, 9, 10,
Homework 10 -
Due date: Tuesday, November 27th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 4 - Section (4.1) - Page 275 : 1, 3, 4, 6, 8,
Chapter 4 - Section (4.2) - Page 293 : 1, 3,
Homework 11
Due date Tuesday, December 4th
Instructions: Please show all your work, not only your final answer, in order to receive credit.
Chapter 4 - Section (4.2) - Page 293 : 5, 6,
Chapter 4 - Section (4.5) - Page 323 : 1, 2, 4, 5, 6 a) b) and c), 7,
Chapter 4 - Section (Review exercises) - Page 335 : 14, 15.
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