Assume that the flight time for U.S. Airways flight 1267 from Philadelphia to Da

Question

Assume that the flight time for U.S. Airways flight 1267 from Philadelphia to Dallas follows the uniform probability distribution between 210 and 250 minutes.

a.What is the mean of this distribution?

b.What is the standard deviation of this distribution?

c.What is the probability that a randomly selected flightwill take less than 224 minutes

d.What is the probability that a randomly selected flight will take more than 225 minutes?

e.What is the probability that a randomly selected flight will take between 220 and 235

Explanation / Answer

a. E(x) = (a+b)/2 = (210+250)/2 = 230

b. std dev = ((b-a)/12)^(.5) = ((250-210)/12)^(0.5) = 11.55

c. P(x<224) = (1/40)(224-210) = 0.35

d. P(x>225) = (1/40)(250-225) = 0.625

e. P(220<x<235) = (1/40)(235-220) = 0.375

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