Let X denote the amount of time a book on two hour reserve is actually checked out and suppose the cdf is the following x 0 0 x 5 5 x F x 0 25 1 Use the cdf to obtain the following If necessary round your answer to four decimal places a Calculate P X 2 b Calculate P 1 5 x 2 c Calculate P X 2 5 d What is the median checkout duration solve 0 5 F M f Calculate E X e Obtain the density function f x f x F x g Calculate V X and V X 0 x 5 otherwise h If the borrower is charged an amount h x x when checkout duration is X compute the expected charge E h X