5 Let x denote the amount of time for which a book on 2hour

5. Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that x has the probability density function

A student is selected at random.      

P(0<x<1) =

Solution

P(0<x<1) = integral ( from 0->1 ) 0.5x dx

= ( from 0->1 ) 0.5x^2/2

= ( from 0->1 ) 0.25x^2

= 0.25 Answer