4. For customers purchasing a refrigerator at a certain appli- ance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refriger- ator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are a P(A) = .75 P(BA) = .9 P(BA') 8 P(CAN B .8 P(CAN B) = .6 PCA n B) = .7 PCA n B') .3 a. Construct tree diagram consisting of first-, second-, and third-generation branches, and place an event label and appropriate probability next to each branch. b. Compute PAN BN o. c. Compute PB n C. d. Compute PC). Compute PABN o, the probability of U.S. pur- chase given that an icemaker and extended warranty are also purchased. a