webassign.net + 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 below. P(A) = 0.79 P(B | A) = 0.92 P(B | A) = 0.81 P(C | An B) = 0.82 P(C | An B) = 0.58 P(C | A'n B) = 0.65 P(C | A'n B') = 0.32 (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. C, 0.18 B', 0.08 A, 0.79 C, 042 C, 0.35 B', 0.19 (b) Compute P(A n B n C). (Round your answer to four decimal places.) (c) Compute P(B n C). (Round your answer to four decimal places.) (d) Compute P(C). (Round your answer to four decimal places.) (e) Compute P(A | B n C), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased. (Round your answer to four decimal places.)