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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 travel at least nine feet to reach a leak.
c. Determine the probability the distance repair workers travel to reach a leak is within one standard deviation of the distance they expect to travel.
d. There is a 0.25 probability repair workers travel between four-and-a-half [or 4.5] feet (the lower value) and how many feet to reach a leak?
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