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randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 76 students would prefer a boy is (Round to four decimal places as needed.)

randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 76 students would prefer a boy is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy Suppose you conducted a survey of 160 randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the pol? Explain. (a) The probability that at least 76 students would prefer a boy is (Round to four decimal places as needed.)
Transcribed Image Text:In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy Suppose you conducted a survey of 160 randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the pol? Explain. (a) The probability that at least 76 students would prefer a boy is (Round to four decimal places as needed.)
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