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) = 0Sx < 4 16 1 4 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X s 2). (b) Calculate P(1.5 sXS 2). (c) Calculate P(X > 2.5).
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) = 0Sx < 4 16 1 4 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X s 2). (b) Calculate P(1.5 sXS 2). (c) Calculate P(X > 2.5).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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) =
OSX< 4
16
1.
4 < X
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 2).
(b) Calculate P(1.5 SXS 2).
(c) Calculate P(X > 2.5).
(d) What is the median checkout duration i? [solve 0.5 = F()].
(e) Obtain the density function f(x).
f(x) = F'(x)
0<x< 4
otherwise
(f) Calculate E(X).
(g) Calculate V(X) and o
V(X)
(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%2F0286dcfb-8654-4e98-9d92-03323eb55c16%2F6f766763-1e51-4511-8546-158f360a27a6%2Fslujqs_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) =
OSX< 4
16
1.
4 < X
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 2).
(b) Calculate P(1.5 SXS 2).
(c) Calculate P(X > 2.5).
(d) What is the median checkout duration i? [solve 0.5 = F()].
(e) Obtain the density function f(x).
f(x) = F'(x)
0<x< 4
otherwise
(f) Calculate E(X).
(g) Calculate V(X) and o
V(X)
(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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