a. Explanation Given: Let R , Y , and B be the event that red, yellow, and blue color, respectively, is chosen by a subject. Let a b c be the event that a , b , and c are chosen by a subject in the experiment. Let x be the number of times in which red colour is chosen. Calculation: Since, all the colors were flashed for same time, subject would be randomly choosing one of the three colors P ( R ) = P ( Y ) = P ( B ) = 1 3 P ( R ) = P ( R c R c R c ) P ( R ) = P ( R c ) 3 P ( R ) = ( 2 3 ) 3 P ( x = 1 ) = P ( R R c R c ) + P ( R c R R c ) + P ( R c R c R ) P ( x = 1 ) = 3 ( ( 1 3 ) ( 2 3 ) 2 ) P ( x = 1 ) = ( 2 3 ) b. To determine To construct: the probability histogram for the random variable x .

Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Chapter 4, Problem 4.132SE

To determine

To find:the probability distribution for x, if all the color were flashed for same length of time.

To determine

To construct: the probability histogram for the random variable x .

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Chapter 4, Problem 4.131SE

Chapter 4, Problem 4.133SE

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the probability distribution for x, if all the color were flashed for same length of time.

Solution Summary: The author calculates the probability distribution for x, if all the colors were flashed for same length of time.