Question 290906
Delta Airlines quotes a flight time of 2hrs and 5 minutes (125 minutes) for its flights from Cincinnati to Tampa.
Suppose we believe that actual flight times are uniformly distributed between 120 to 140 minutes. 
a. What is the probability that the flight will be more than 10 minutes late?
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At least 10 minutes late is a flight of at least 135 minutes
If flight times range from 120 to 140 minutes, 6*sigma = 20
and sigma = 10/3
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Using the airlines schedule predictions,
find the probability flight time >= 135 min, 
Find z(135) = (135-125)/(10/3) = 10/(10/3) = 3
Then P(x>= 135) = P(z> 3) = 0.00135
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b. What is the expected flight time?
Based on our observed times, expected flight time 
is the average flight time = (140+120)/2 = 130 minutes.
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Cheers,
Stan H.