Question: A retailer sells books and music in a brick and mortar store and through a web site. 53% of the sales are in the store and 47% on line. 68% of the store’s sales are book purchases and 32% music. 75% of the web site’s sales are book purchases and 25% are music. Use this information to answer the following questions.

a) That a sale is an online sale. (3 points)

b) That a sale is a music sale given that it was purchased online (3 points).

c) That a sale is a music sale and an online sale (5 points).

d) Suppose it is known that a sale is a music sale. Use Bayes’ theorem, preferably in tabular form, to find the probability that the sale is an online sale.(10 points).

e) Use the information above to find the probability that a sale was an online sale or a music sale (5 points).