Mathematics 1550H – Introduction to probability Trent University, Winter 2016 Assignment #4 (Un)expected Value
Mathematics 1550H – Introduction to probability
Trent University, Winter 2016
Due on Friday, 1 Monday, 4 April, 2016.
1. Verify that f(t) = 1
π (1 + t
is a probability density function, but that a random
variable X that has f(t) as its probability density does not have a finite expected
Hint: Try computing E(X) and see what you get . . .
2. Find a function g(t) such that a random variable X which has g(t) as its probability
density function has a finite expected value, but does not have a finite variance. 
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