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Let X denote the amount of time a book on two-hour reserve is actually checked out,...

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

F(x) = 0           x < 0

F(x) = x2/4       0 ≤ x < 2

F(x) = 1           2 ≤ x

Use the cdf to obtain the following

a) P[ X ≤ 1 ]

b) P[ 0.5 ≤ X ≤ 1 ]

c) P[ X > 1.5 ]

d) Expected value of X, E[X]

e) Variance of X, Var[X]

Math   Statistics-And-Probability   
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