Do you take the free samples offered in supermarkets? About 64% of all customers will take...

Do you take the free samples offered in supermarkets? About 64% of all customers will take free samples. Furthermore, of those who take 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, 307 customers passed by your counter.

a.) What is the probability that more than 180 will take your free sample?

b.) What is the probability that fewer than 200 will takr your free sample?

c.) What is the probability that a customer will take a free sample and buy the product? Notice that we are given the coditional probability P(buy|sample) = 0.37, while P(sample) = 0.64

d.) What is the probability that between 60 and 80 customers will take the free sample and buy the product?

Expert Solution

orchestra answered 2 years ago

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