Homework Help is Here – Start Your Trial Now!
Math
Probability
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.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
See similar textbooks
icon
Related questions
Question
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.)
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer