6assignment

6assignment - ECEN 303: Assignment 6 Problems: 1. Two fair...

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ECEN 303: Assignment 6 Problems: 1. Two fair dice are rolled. Find the joint probability mass function of X and Y when (a) X is the largest value obtained on any die and Y is the sum of the values; (b) X is the value on the ±rst die and Y is the larger of the two values; (c) X is the smallest and Y is the largest value obtained on the dice. 2. The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter λ = 10. Compute the conditional probability that at most 3 men entered the drugstore, given that 10 women entered in that hour. What assumptions have you made? 3. Let a and b be positive integers with a b , and let X be a random variable that takes as values, with equal probability, the powers of 2 in the interval [2 a , 2 b ]. Find the expected value and the variance of X . 4. A stock market trader buys 100 shares of stock A and 200 shares of stock B . Let X and Y be the price changes of A and B , respectively, over a certain time period, and assume that
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This note was uploaded on 03/30/2010 for the course ECEN 303 taught by Professor Chamberlain during the Fall '07 term at Texas A&M.

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6assignment - ECEN 303: Assignment 6 Problems: 1. Two fair...

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