A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at most 102 of the 145 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.

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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A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random
sample of 145 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at most 102
of the 145 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
Transcribed Image Text:A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at most 102 of the 145 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
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