8. Each segment of an oil pipeline is 30 feet long. If a segment of the pipeline

Question

8. Each segment of an oil pipeline is 30 feet long. If a segment of the pipeline leaks, repair workers reach the leak by opening the pipeline at the nearest end of the segment. The probability of a leak is distributed continuously and uniformly through each segment a. How far can repair workers expect to travel to reach a leak? b. Determine the probability repair workers will travel at least nine feet to reach a leak c. There is a 0.30 probability repair workers will travel between three feet and how many feet to reach a leak?

Explanation / Answer

a) expected value =(30/2)=15 feet

b) probability =P(X>9) =1-P(X<9)=1-9/30=0.9

c)let distance is x; therefore P(3<X<x) =0.3

(x-3)/30 =0.3

x=12

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