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

(a) What is the probability that a customer is both 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" inde- pendent?

(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" inde pendent?

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

(a) 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?