Math 83100
Fall 2008
Assignment 3 Solutions
Solutions to some of the problems
These solutions are written with varying levels of detail. They are meant to give you the key ideas needed to solve some of the problems. If you'd like more details, let me know
Math 83100
Fall 2008
Assignment 2 Solutions
These solutions are written with varying levels of detail. They are meant to give you the key ideas needed to solve some of the problems. If you'd like more details, let me know and we can talk about the problem
Math 83100
Fall 2008
Take-Home Midterm Exam
(Due on Monday, 11-17)
This exam is a take-home exam, due at the beginning of class on Monday, November 17. You may e-mail it to me by 4:15 p.m. on that date if you can't make it to class. You are allowed to use
Math 83100
Fall 2008
Final Exam Solutions
Below are some brief outlines of solutions. If you're interested in seeing more details for a specific problem, e-mail me and I'll write a bit more when I have some time. 1. (a) Give an example of a sequence cfw_X
Math 83100
Fall 2008
Assignment 1
Select Solutions
These solutions are meant to give you the key ideas needed to solve some of the problems. If you'd like more details, let me know and we can talk about the problems. Exercise 1.1.9*: The key here is to de
Math 83100
Fall 2008
Final Exam
This is an open-book in-class examination. You have 90 minutes to complete it. Please do 5 of the 6 problems and indicate clearly on the front page of this exam which problem it is that you don't want me to grade. If you do
Math 83100
Fall 2008
Assignment 2
(Due on Wednesday, 10-06) Below is the list of problems I expect you to do. Please hand in only those marked with an asterisk. All numbers refer to the third edition of "Probability: Theory and Examples". Exercises 1.3.5,
Math 83100
Fall 2008
Assignment 3
(Due on Monday, 11-03) Below is the list of problems I expect you to do. Please hand in only those marked with an asterisk. All numbers refer to the third edition of "Probability: Theory and Examples". Exercises 1.4.14, 1
Math 83100
Fall 2008
Assignment 1
(Due on Wednesday, 09-17)
Below is the list of problems I expect you to do. Please hand in only those marked with an asterisk. All numbers refer to the third edition of "Probability: Theory and Examples". Exercise 1.1.9*
Math 83100
Fall 2008
Midterm Solutions
1. Find a minimal moment condition on X such that n2 P (|X| n) 0 as n . (In other words, find the smallest a such that the conclusion holds if E[|X a |] < .) Prove that this condition is indeed minimal. Solution: We