Let x denote the amount of time in hours a book on two-hour

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Let X denote the amount of time in hours a book on two-hour reserve is actually checked out, and suppose the cdf is

F(x) = 0, x < 0
(x^2)/4, 0<= x <= 2
1, 2 <= x

What is the 75th percentile for the amount of time a book is checked out?

What is the pdf of X?

What are the expected value and variance of X?

If the borrow is charged $1.00 to check out a book and an additional $0.50 for each hour (i.e.$0.50X), compute the expected charge and the variance of the charge.

Reference no: EM13606335

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