62. For customers purchasing a full set of tires at a particular tire store, consider the events along with A, B, and C. Assume the following unconditional and conditional probabilities:

P(A)  .75

a. Construct a tree diagram consisting of rst-, second-, and third-generation branches and place P1C 0 A¿ ¨ B2  .7 P1C 0 A¿ ¨ B¿ 2  .3 P1C 0 A ¨ B2  .8 P1C 0 A ¨ B¿ 2  .6 P1B 0 A2  .9 P1B 0 A¿ 2  .8 C  5purchaser requests front-end alignment6 B  5purchaser has tires balanced immediately6 States6 A  5tires purchased were made in the 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 the probability of a purchase of U.S. tires given that both balancing and an alignment were requested.