For customers purchasing a full set of tires at a particular tire store, consider the events

A = {tires purchased were made in the United States}
B = {purchaser has tires balanced immediately}
C = {purchaser requests front-end alignment}

along with A′, B′, and C′. Assume the following unconditional and conditional probabilities:

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.

b. Compute P(A ∩ B ∩ C).
c. Compute P(B ∩ C).
d. Compute P(C).
e. Compute P(A Ι B ∩ C), the probability of a purchase of U.S. tires given that both balancing and an alignment were requested.

Transcribed Image Text:

P(A) = .75 P(BA) = 9 P(BA') = .8 P(CAB) P(CA'NB) = .8 P(CAB) = .6 = .7 P(CA'B') = .3