Suppose that an airline quotes a flight time of 128 minutes between two cities.

Question

Suppose that an airline quotes a flight time of 128 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 102 and 154 minutes. Letting the time unit be one minute,

(a) Write the formula for the probability curve of x.

f(x)            /

(c) Find P(129 < x < 146). (Round your answer to 4 decimal places.)

P            

(d) Find the probability that a randomly selected flight between the two cities will be at least 3 minutes late. (Round your answer to 4 decimal places.)

P            

Explanation / Answer

a) f(X) = 1/(b-a) = 1/(154-102) = 1/52 for 102 <= X <= 154

c) P(129 <= X <= 146) = (146-129) * (1/52) = 0.3269

d) P(X >= 128+3) = P(X >= 131) = (154-131)*(1/52) = 0.4423

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