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.

P(A)
.75 P(B⏐A)
.9 P(B⏐A )
.8 P(C⏐A B)
.8 P(C⏐A B )
.6 P(C⏐A B)
.7 P(C⏐A B )
.3

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 P(A B C).

c. Compute P(B C).

d. Compute P(C).

e. Compute P(A⏐B C), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased.