hw6 - AMS 311 (Fall, 2010) Joe Mitchell PROBABILITY THEORY...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: AMS 311 (Fall, 2010) Joe Mitchell PROBABILITY THEORY Homework Set # 6 Due at the beginning of class on Thursday, November 4, 2010. Reminder: Show your reasoning! You do not need to evaluate arithmetic expressions or integrals, if they are fully specified. For example, you may leave integraltext . 5 integraltext 1- x x x 2 e y dydx in this form. Ross, Chapter 6 (Sections 6.1, 6.2); Read: Handout on Expectation, Moment Generating Functions, Variance, and Covariance. (1). (20 points) Two fair dice are rolled. Find the joint probability mass function of X and Y , where X is the larger of the two values and and Y is the smaller of the two values on the dice. (e.g., if the roll is (4,2), then X = 4 and Y = 2, while if the roll is (4,4), then X = Y = 4) (2). (25 points) Let X and Y be independent exponential random variables with respective parameters 2 and 3. Find the cdf and density of Z = X/Y . Also, compute P ( X < Y )....
View Full Document

Ask a homework question - tutors are online