7.A bakery uses 2000 raisins to make 100 loaves of bread. Let X be the number of raisins of each loaf. X follows a binomial distribution with n=2000, p 1/100. Using the central limit theorem.(normal approximation} a) find the probabilities: P(20 28) 1:d .. b) find the probability that average number of raisins in 25 randomly chosen loaves exceeds 28. c) Why is it possible to apply central limit theorem to this problem?

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.A bakery uses 2000 raisins to make 100 loaves of bread. Let X be the number of
raisins of each loaf. X follows a binomial distribution with n=2000, p 1/100.
Using the central limit theorem.(normal approximation}
a) find the probabilities: P(20 <X <28 ), P (X > 28)
P:4
b) find the probability that average number of raisins in 25 randomly chosen
loaves exceeds 28.
c) Why is it possible to apply central limit theorem to this problem?
Transcribed Image Text:7.A bakery uses 2000 raisins to make 100 loaves of bread. Let X be the number of raisins of each loaf. X follows a binomial distribution with n=2000, p 1/100. Using the central limit theorem.(normal approximation} a) find the probabilities: P(20 <X <28 ), P (X > 28) P:4 b) find the probability that average number of raisins in 25 randomly chosen loaves exceeds 28. c) Why is it possible to apply central limit theorem to this problem?
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