hw5ma540

hw5ma540 - Homework 5 1) Problem 2 Page 365 A fair die is...

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Page | 1 Homework 5 1) Problem 2 Page 365 A fair die is tossed twice. The sum of the outcomes is denoted by X and the largest value by Y . (a) Calculate the joint probability mass function of X and Y ; (b) Find the marginal probability mass function of X and Y ; (c) Find . Solution: (a) and (b) , the joint probability mass function of X and Y , and , the marginal probability mass functions of X and Y are given by the following table. 1 2 3 4 5 6 2 1/36 0 0 0 0 0 1/36 3 0 2/36 0 0 0 0 2/36 4 0 1/36 2/36 0 0 0 3/36 5 0 0 2/36 2/36 0 0 4/36 6 0 0 1/36 2/36 2/36 0 5/36 7 0 0 0 2/36 2/36 2/36 6/36 8 0 0 0 1/36 2/36 2/36 5/36 9 0 0 0 0 2/36 2/36 4/36 10 0 0 0 0 1/36 2/36 3/36 11 0 0 0 0 0 2/36 2/36 12 0 0 0 0 0 1/36 1/36 1/36 3/36 5/36 7/36 9/36 11/36 (c) , 2) Problem 11 Page 366 Let the joint probability distribution function of the lifetimes of two brands of lightbulb be given by Find the probability that one lightbulb lasts more than twice as long as the other. Solution:
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This note was uploaded on 02/27/2010 for the course MA 540 taught by Professor Prasad during the Spring '10 term at Stevens.

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hw5ma540 - Homework 5 1) Problem 2 Page 365 A fair die is...

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