# Question: The distance from a random leak in an oil pipeline

The distance from a random leak in an oil pipeline made up of 30-foot segments to the segment end nearest the leak (where the pipeline would be opened in order to get inside to make repairs) has a uniform distribution defined by the density function

a. Determine the probability that the distance from the leak to the nearest segment end would be less than 2 feet.

b. Determine the probability that the distance from the leak to the nearest segment end would at least 9 feet.

c. There’s a 40% probability that the distance will be between 5 feet and _____ feet.

d. There’s a 50% probability that the distance will be between 3 feet and _____ feet.

a. Determine the probability that the distance from the leak to the nearest segment end would be less than 2 feet.

b. Determine the probability that the distance from the leak to the nearest segment end would at least 9 feet.

c. There’s a 40% probability that the distance will be between 5 feet and _____ feet.

d. There’s a 50% probability that the distance will be between 3 feet and _____ feet.

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