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Let X be the amount of time for which a book on a 2 hour reserve at a college li

ID: 2959837 • Letter: L

Question

Let X be the amount of time for which a book on a 2 hour reserve at a college library is
checked out by a randomly selected student. The distribution function of X is

F (x)= { 0     x<0

   X2/4        0x<2

   1 2X

(a) Express in terms of X the event that "a randomly selected student is going to check outthe book for longer than half an hour but less than an hour". Find the probability of thisevent.

(b) Express in terms of X event that "a randomly selected student is going to check out thebook for longer than half an hour". Find the probability of this event.

(c) 90% of the students check out the book for less than_________ hours?

Explanation / Answer

a) What we want to know is P(.5

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