3.64 A survey carried out for a supermarket classified customers according to whether their visits to the store are frequent or infrequent and whether they often, sometimes, or never purchase generic products. The accompanying table gives the proportions of people surveyed in each of the six joint classifications.

Frequency of Purchase of Generic Products Visit Often Sometimes Never Frequent 0.14 0.42 0.16 Infrequent 0.08 0.04 0.09

a. What is the probability that a customer both is a frequent shopper and often purchases generic products?

b. What is the probability that a customer who never buys generic products visits the store frequently?

c. Are the events “never buys generic products” and

“visits the store frequently” independent?

d. What is the probability that a customer who infrequently visits the store often buys generic products?

e. Are the events “often buys generic products” and

“visits the store infrequently” independent?

f. What is the probability that a customer frequently visits the store?

g. What is the probability that a customer never buys generic products?

h. What is the probability that a customer either frequently visits the store or never buys generic products or both?