In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you take the free samples offered in supermarkets? About 62% of all customers will take free samples. Furthermore, of those who take the free samples, about 33% will buy whatthey 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, 315 customers passed by yourcounter. (Round your answers to four decimal places.)A USE SALT(a) What is the probability that more than 180 will take your free sample?(b) What is the probability that fewer tharl2o0 will take your free sample?(c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Natice that we are given theconditional probability P(buyisample) = 0.33, while P(sample) = 0.62.(d) what is the probability that between 60 and 80 customers will take the free sample and buy the product? Hint: Use the probability of success calculated in part (c).MY NOTESASK VOUR TEACHAR

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Description: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you take the free samples offered in supermarkets? About 62% of all c

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Do you take the free samples of 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, 315 customers passed by yo counter. (Round your answers to four decimal places.) red in permarkets About 62 of all customers will take free samples. Further mples, about 33 Will buy A USE SALT (a) what is the probability that more than 180 will take your free sample? (b) What is the probability that fewer tharlzo0 will take your free sample? (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability P(buyisample) = 0.33, while P(sample) - 0.62.

Do you take the free samples of 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, 315 customers passed by yo counter. (Round your answers to four decimal places.) red in permarkets About 62 of all customers will take free samples. Further mples, about 33 Will buy A USE SALT (a) what is the probability that more than 180 will take your free sample? (b) What is the probability that fewer tharlzo0 will take your free sample? (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability P(buyisample) = 0.33, while P(sample) - 0.62.

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
Do you take the free samples offered in supermarkets? About 62% of all customers will take free samples. Furthermore, of 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, 315 customers passed by your
counter. (Round your answers to four decimal places.)
A USE SALT
(a) What is the probability that more than 180 will take your free sample?
(b) What is the probability that fewer tharl2o0 will take your free sample?
(c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Natice that we are given the
conditional probability P(buyisample) = 0.33, while P(sample) = 0.62.
(d) what is the probability that between 60 and 80 customers will take the free sample and buy the product? Hint: Use the probability of success calculated in part (c).
MY NOTES
ASK VOUR TEACHAR

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