Question
In: Statistics and Probability
In the following problem, check that it is appropriate to use the normal approximation to the...
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 56% of all customers will take free samples. Furthermore, of those who take the free samples, about 37% 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, 329 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?
(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(buy|sample) = 0.37, while P(sample) = 0.56.
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).
Solutions
orchestra answered 2 years agoRelated Solutions
In the following problem, check that it is appropriate to use the normal approximation to the...
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.
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In the following problem, check that it is appropriate to use the normal approximation to the...
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distribution to estimate the requested probabilities.
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In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to
pad an insurance claim to cover your deductible? About 40% of all
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has just received 120 insurance claims to be processed in the next
few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to pad an insurance claim to cover your deductible?
About 36% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 140 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to pad an insurance claim to cover your
deductible? About 36% of all U.S. adults will try to pad their
insurance claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 124 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to
pad an insurance claim to cover your deductible? About 45% of all
U.S. adults will try to pad their insurance claims! Suppose that
you are the director of an insurance adjustment office. Your office
has just received 124 insurance claims to be processed in the next
few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to pad an insurance claim to cover your deductible?
About 40% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 140 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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.
Ocean fishing for billfish is very popular in the Cozumel region of
Mexico. In the Cozumel region about 42% of strikes (while trolling)
resulted in a catch. Suppose that on a given day a fleet of fishing
boats got a total of 29 strikes. Find the following probabilities.
(Round your answers to four...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to pad an insurance claim to cover your deductible?
About 37% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 138 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
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 try to pad an insurance claim to cover your deductible?
About 37% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 138 insurance
claims to be processed in the next few days. Find...
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