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Unformatted text preview: ISyE 2027 Probability with Applications Fall 2006 R. D. Foley Homework 7 October 25, 2006 due on Tuesday Please explain your answer to “yes” or “no” questions such as “are X and Y independent”. 1. (30 points) Leave your answer to in terms of ( n k ) . Suppose we are dealt 5 cards from a well-shuffled standard poker deck. Let X be the number of clubs and Y the number of diamonds in the hand. (a) What is the joint probability mass function of X and Y ? (b) What is the marginal probability mass function of Y (c) What is the conditional probability that X = 0 given Y = 4? 2. Roll a pair of dice where each die has 4 sides labelled with the numbers 1, . . . , 4. Let X be the maximum number rolled, and Y be the minimum of the rolled numbers. (a) What is the joint p.m.f. of X and Y ? (b) What is the marginal p.m.f. of X ? (c) What is the conditional p.m.f. of Y given X = 2? (d) What is the E[ Y | X = 2]?...
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This note was uploaded on 02/01/2010 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.
- Spring '08