Supermarkets: Free Samples Do you take the free samples offered in supermar- kets? About 60% of all customers will take free samples. Furthermore, of those
who take the free samples, about 37% will buy what they have sampled. See
reference in Problem 6.) Suppose you set up a counter in a supermarket offering
free samples of a new product. The day you were offering free samples, 317 cus-
comers 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 take your free sample:
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) = 0.60
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.