Let X be a binomial random variable with n=100 and p=0.25. As a reference, the precise probability that P (X ≤ 30) = 0.89621. Use the central limit theorem to give an approximation of P (X ≤ 30) [Please use continuity correction]. How does this compare with the precise value?

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...
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7. Let X be a binomial random variable with n=100 and p=0.25. As a reference, the
precise probability that P (X ≤ 30) = 0.89621. Use the central limit theorem to give an
approximation of P (X ≤ 30) [Please use continuity correction]. How does this compare with
the precise value?

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