CS 519: Probability and Linear Algebra
Assignment 1
Due date: 17th August, Wednesday (During Class, 12pm)
1. Prove that set of rational numbers Q is a countable set.
2. Prove that:
a. If B A then P( B)P( A) and P(A-B) = P(A) P(B)
b. If A and B are indepen
Math 247 - Exam 3, November 30, 2011
Name:
Problem 1 (20 points). Let X1 , X2 , . . . be a sequence of independent and identically distributed normal
random variables with mean 5 and variance 2. Let N be a Poisson random variable with parameter 6,
which i
Math 247 - Exam 1, September 28, 2011
Name:
Problem 1 (20 points). Julie has just nished drying her laundry which contained 5 pairs of black socks,
2 pairs of blue socks, 2 pairs of yellow socks, and no other socks. Without looking Julie grabs two socks
f
Math 247 - Exam 2, October 26, 2011
Name:
Problem 1 (20 points). Suppose that the travel time in minutes it takes Jacob to get from his home to
his probability class is normally distributed with mean 40, and variance 25. If Jacob has a test tomorrow
morni