Explanation Calculation: The probability that a female from Country A will change her last name upon marriage is 0.9. It was found that in a sample of 500 females, fewer than 400 changed their last name upon marriage. Binomial Distribution: Random variable x is said to follow binomial distribution if x has only two outcomes “success” and “failure” and the mass function of x is as follows: p ( x ) = ( n x ) p x q n − x , x = 0 , 1 , 2 , ... , n , Where, n is the number of trials and p is the probability of success, q = 1 − p . Define random variable x as the number of females from Country A, who will change their last name upon marriage. Here, the number of females considered from Country A is 500. Thus, the number of trials is n = 500 . The probability that females from Country A will change their last name upon marriage is p = 0.90 . Each female from Country A is independent of others. Also, there are two possible outcomes, those who change their last name upon marriage and those who do not change their last name upon marriage (success or failure)

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 5.5, Problem 95ACA

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Statistics (13th Edition)

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