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

Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)

(a) P(X ≤ 2)
(b) P(1.5 ≤ X ≤ 2)
(c) P(X 2.5)
(d) The median checkout duration mu tilde [solve 0.5 = F(mu tilde)]
(e) F '(x) to obtain the density function f(x)
(f) E(X)
(g) V(X) and σx

(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge
E[h(X)].

Question

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.

Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)

(a)    P(X ≤ 2)
(b)    P(1.5 ≤ X ≤ 2)
(c)    P(X > 2.5)
(d) The median checkout duration mu tilde [solve 0.5 = F(mu tilde)]
(e)    F '(x) to obtain the density function f(x)
(f)    E(X)
(g)    V(X) and σx

(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge 
E[h(X)].

raffle_snaffle · Answer

I got a, b, c, d, and e need help with f

raffle_snaffle · Answer

|dw:1453523525805:dw|