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In: Statistics and Probability

At Elmo’s, an old-fashioned barber shop in Melbourne, FL, 70% of all customers get a haircut,...

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

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

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

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

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

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orchestra answered 1 year ago
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