Question

Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X = the time, in minutes, it takes a barber to complete a haircut. Then X ~ U (8, 22). Find the probability that a randomly selected barber needs at least 14 minutes to complete the haircut, P(x > 14) (answer to 4 decimal places)

Answer 1

Solution :

Given that,

a = 8

b = 22

P(x > c) = (b - c) / (b - a)

P(x > 14) = (22 - 14) / (22 - 8)

P(x > 14) = 0.5714