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 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.
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