63. For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are

a. Construct a tree diagram consisting of first-, second-, and third-generation branches, and place an event label and appropriate probability next to each branch.

b. Compute .

c. Compute .

d. Compute P(C).

e. Compute , the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased.