According to a recent survey, 50% of all customers will return to the same grocery store. Suppose nine customers are selected at random, what is the probability that:
(a) Exactly five of the customers will return?
(b) All nine will return?
(c) At least eight will return?
(d) At least one will return?
(e) How many customers would be expected to return to the same store, i.e., what is the mean of the distribution?