The lifetime of a tire selected randomly from a used tire shop is 10, 000X miles, where X is a random variable with density function " 2/x2 1 x 2...

The lifetime of a tire selected randomly from a used tire shop is 10, 000X miles, where X is a randomvariable with density functionô°“ 2/x2 1 < x < 2f(x) =(a) What percentage of the tires of this shop last fewer than 15,000 miles?(b) What percentage of those having lifetimes fewer than 15,000 miles last between 10,000 and 12,500 miles?(c) Determine the cdf and qf of X.