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.

Transcribed Image Text:

1/15 for x values between 0 and 15 feet 0 everywhere else f(x)