Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. x < 0 x2 25 F(x) = 0sx < 5 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2).
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. x < 0 x2 25 F(x) = 0sx < 5 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2).
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I just need an explanation for the ones that I got incorrect please. Thank you.
![Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
X < 0
x2
F(x)
0 < x < 5
25
1
5 < X
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X < 2).
.16
(b) Calculate P(1.5 < X < 2).
.07
(c) Calculate P(X > 2.5).
.75
(d) What is the median checkout duration i? [solve 0.5 =
F(M)].
3.3471
(e) Obtain the density function f(x).
f(x) = F'(x)
.08x
0<x < 5
otherwise
(f)
Calculate E(X).
3.3336
(g) Calculate V(X) and o,:
V(X)
1.3872
1.1778
(h) If the borrower is charged an amount h(X) = x when checkout duration is X, compute the expected charge E[h(X)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05998c5-9aa7-4463-a9df-7f7abe049b9d%2F7748b573-7c50-448f-b92d-1006dadcf6af%2F7p8ax7l_processed.png&w=3840&q=75)
Transcribed Image Text:Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
X < 0
x2
F(x)
0 < x < 5
25
1
5 < X
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X < 2).
.16
(b) Calculate P(1.5 < X < 2).
.07
(c) Calculate P(X > 2.5).
.75
(d) What is the median checkout duration i? [solve 0.5 =
F(M)].
3.3471
(e) Obtain the density function f(x).
f(x) = F'(x)
.08x
0<x < 5
otherwise
(f)
Calculate E(X).
3.3336
(g) Calculate V(X) and o,:
V(X)
1.3872
1.1778
(h) If the borrower is charged an amount h(X) = x when checkout duration is X, compute the expected charge E[h(X)].
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