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 35% will buy what they sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offerering free samples, 321 customers passed by your counter. C. What is the probability that a customer will take free sample and buy the producf? Notice that we are given the conditional probability p(buy|sample) = 0.35, 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)

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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 56% of all customers will take free samples. Furthermore of those who take the free samples about 35% will buy what they sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offerering free samples, 321 customers passed by your counter. C. What is the probability that a customer will take free sample and buy the producf? Notice that we are given the conditional probability p(buy|sample) = 0.35, 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)
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