Suppose that an airline quotes a flight time of 138 minutes between two cities.

Question

Suppose that an airline quotes a flight time of 138 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 117 and 159 minutes. Letting the time unit be one minute,

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

f(x)            /

(c) Find P(130 < 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 4 minutes late. (Round your answer to 4 decimal places.)

Explanation / Answer

a) f(x) =1/(b-a) =1/(159-117)=1/42

c)P(130<X<146)=(146-130)/42=16/42=0.3810

d)  probability that a randomly selected flight between the two cities will be at least 4 minutes late =P(X>142)

=1-P(X<142)=1-(142-117)/42 =0.4048

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