Monday, June 14, 2010

Uniform distribution probability help. I don't know how to apply the function to this problem

Uniform distribution probability help. I don't know how to apply the function to this problem?
a.An airline knows that the duration of the flight from Pittsburgh to Minneapolis is uniformly distributed between 120 and 140 minutes. The flight departs at 1:00 p.m. The airline wants the probability that the flight will be late not to exceed .25. What scheduled arrival time should the airline announce?
Mathematics - 1 Answers
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1 :
The pdf of a uniform distribution is: f(x) = 1/(b - a) = 1/(140 - 120) = 1/20 So we want ∫(1/20) dx from 120 to t = 1/20*(t - 120) = 0.25 t = 125 minutes The scheduled arrival time is 3:05 P.M

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