. 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 60% 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, 327 customers passed by your counter. (Round your answers to four decimal places.) (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) = 0.33, while P(sample) = 0.60.  (answer = 0.198) (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).

Q: Do you take the free samples of they have sampled. Suppose you set up a counter in a supermarket…

A: Hi the question more than 3 parts. As per the guidelines i am obliged to answer first three parts…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: n=30 The probability of success is p=0.45 (45%)

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A:

Q: Ocean fishing for bilifish is very popular in the Cozumel region of Mexico. In the Cozumel region…

A:

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: n=60, p=0.61

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given, 25% of ice cream sales are vanilla = P(Vanilla) = 0.25 Chocolate accounts for only 7% of ice…

Q: Mexico. In the Cozumel region about 49% of strikes (while trolling) resulted in a catch. Suppose…

A: Given that Sample size (n)=27  Probability of success (p)=0.49  We have to find probability that (a)…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: Normal approximation

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: (d) The probability that between 50 and 60 customers will buy chocolate or vanilla ice cream is…

Q: In the following problem check that it is appropriate to use the normal approximation to the…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then, the conditional…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Theoritical distribution is one of the main branches of frequency distribution. In theoretical…

Q: Ocean fishing for billfish is very popular in

A: Binomial probability distribution Probability of exactly x sucesses on n repeated trials, with p…

Q: Do you try to pad an insurance claim to cover your deductible? About 39% of all U.S. adults will try…

A: Solution

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Binomial Distribution: If we have n trials and each has two outcomes, success and failure, with…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: (a) mean=n*p=179*0.28 =50.12 standard deviation =sqrt(179*0.28*(1-0.28)) =6.0072 So the probability…

Q: Suppose the probability distribution below represents a simple population. If we take samples of n=2…

A: There will be total 9 samples each of size 2, from the given population if the samples are taken…

Q: QUESTION 6 A box of Wheaties has one of four U.S. Olympian trading cards stuffed inside at random.…

A:

Q: (a) What is the probability that more than 180 will take your free sample? (b) What is the…

A: As per our guidelines, we are allowed to answer three subpart. Please post  part d again. Thanks…

Q: Assume that the normal distribution can be used to approximate the following binomial distribution…

A: From the provided information, A survey of adults found that​ 6% say their favorite sport is auto…

Q: What is the probability that more than 180 will take your free sample? (b) What is the probability…

A: As PER POLICY I HAVE CALCULATED FIRST 3 subpart plz REPOST FOR the remaining  About 60% of all…

Q: n the following problem, check that it is appropriate to use the normal approximation to the…

A: Given From the Data  Percentage of adults has pad their insurance (p) = 37% converting into  decimal…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: solutiongiven thatn=20p=0.41first we need to check the conditions of normality that if np and n1-p…

Q: Consider how the following scenario could be modeled with a binomial distribution, and answer the…

A: Given 54.4% of movie tickets are sold with a popcorn coupon.45.6% of movie tickets are sold with out…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: The following solution is provided below

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: The objective of this question is to determine whether it is appropriate to use the normal…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: np>10 and  nq>10 np= 23×0.47=10.81 >10 nq=23×0.53=12.19 >10 We can use normal…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: As per guidelines we will only answer first three subparts, please repost other subparts for more…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: From the given information, it is clear that,  Number of customer n=168, The 25% of ice cream sales…