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For customers purchasing a refrigerator at a certain appliance store, et A be the event that the refrigerator was manufactured in the U that the customer purchased an extended warranty. Relevant probabilities are below. be the event that the refrigerator had an ice maker, and C be the event P(A) 0.71 PB | A)-0.90 P(B I A)-0.82 P(C IAn B)-0.69 PCIAnB)-0.31 (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, 0.17 B,0.10 A,0.71 C,0.44 C, 0.31 B,0.18(b) Compute PIA nBnc). (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 | Bn 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.)

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