At Elmo’s, an old-fashioned barber shop in Melbourne, FL, 70% ofall customers get a haircut, 40% get 3. At Elmo’s, an old-fashionedbarber shop in Melbourne, FL, 70% of all customers get a haircut,40% get a shave, and 95% get a haircut or a shave. Let A = customergets a haircut and B = customer gets a shave.

a. Draw a Venn diagram showing the relationship between theevents A and B. (4 points)

b. What is the probability that a randomly selected customergets both a haircut and a shave?_________________________________(3)

c. What is the probability that a randomly selected customer ahaircut or a shave, but not both?_________________________________(3)

d. What is the probability that a randomly selected customergets a shave, given that he gets a haircut?________________________________