In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the nori distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 64% of all customers will take free samples. Furthermore, those who take the free samples, about 33% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 311 customers passed by your counter. (Round your answers to four decimal places.) (a) What is the probability that more than 180 will take your free sample? 1 x (b) What is the probability that fewer than 200 will take your free sample? 0.5451 (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplicat rule for dependent events. Notice that we are given the conditional probability P(buy|sample) = 0.33, while P(sample) = 0.64. 0.2112 (d) What is the probability that between 60 and 80 customers will take the free sample and buy the product? Hir Use the probability of success calculated in part (c). 0.5451

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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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the nori
distribution to estimate the requested probabilities.
Do you take the free samples offered in supermarkets? About 64% of all customers will take free samples. Furthermore,
those who take the free samples, about 33% will buy what they have sampled. Suppose you set up a counter in a
supermarket offering free samples of a new product. The day you were offering free samples, 311 customers passed by
your counter. (Round your answers to four decimal places.)
(a) What is the probability that more than 180 will take your free sample?
(b) What is the probability that fewer than 200 will take your free sample?
0.5451
(c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplicat
rule for dependent events. Notice that we are given the conditional probability P(buy|sample) = 0.33, while
P(sample) = 0.64.
0.2112
(d) What is the probability that between 60 and 80 customers will take the free sample and buy the product? Hir
Use the probability of success calculated in part (c).
0.5451
Transcribed Image Text:In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the nori distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 64% of all customers will take free samples. Furthermore, those who take the free samples, about 33% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 311 customers passed by your counter. (Round your answers to four decimal places.) (a) What is the probability that more than 180 will take your free sample? (b) What is the probability that fewer than 200 will take your free sample? 0.5451 (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplicat rule for dependent events. Notice that we are given the conditional probability P(buy|sample) = 0.33, while P(sample) = 0.64. 0.2112 (d) What is the probability that between 60 and 80 customers will take the free sample and buy the product? Hir Use the probability of success calculated in part (c). 0.5451
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Given the following information-

p=0.64

n=311

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