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. Re\\evant probabilities are below. PM.) : 0.70 P(B | A) : 0.88 P(5 | A') : 0.32 p(c|AB):o.79 P(c|Ans'):0.ss P(c|A'na)=0.75 P(C|A'nB')=O.25 (a) Construct a tree dwagram consisting of rst: second: and thirdigeneration branches and place an event label and appropriate probabwlity next to each branch. (h) Compute PM n B H C). (Round your answer to four decimal places.) :I (c) Compute PIE! F) C). (Round your answer to four decimal mates.) :I (d) Compute P(C'). (Round your answer to four decimal places.) :l (e) Compute PM | 3 Fl C), the prohabwlity ufa U.S. purchase given that an icemaker and extended warranty are a\\so purchased. (Round your answer to four decwmal places.) :I