Suppose that an airline quotes a flight time of 127 minutes between two cities.

Question

Suppose that an airline quotes a flight time of 127 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 103 and 151 minutes. Letting the time unit be one minute,

Find the probability that a randomly selected flight between the two cities will be at least 5 minutes late. (Round your answer to 4 decimal places.)

Suppose that an airline quotes a flight time of 127 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 103 and 151 minutes. Letting the time unit be one minute,

Explanation / Answer

a) f(x) =1/(151-103 )=1/48

b) P(129<x<147) = (147-129) / 1/f x = 18/48 = 1/4=0.375

d) P( x>132)= (151-132)/48 = 0.3958

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