(e) Obtain the density function f(x). F(x) = F'(x) Osx < 4 otherwise (f) Calculate E(X). (9) Calculate V(X) and o V(X)
(e) Obtain the density function f(x). F(x) = F'(x) Osx < 4 otherwise (f) Calculate E(X). (9) Calculate V(X) and o V(X)
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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Please help me with the following 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.
x< 0
x2
F(x) =
Osx< 4
16
4 SX
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 2).
0.2500
(b) Calculate P(1.5 SXS 2).
0.1094
(c) Calculate P(X > 2.5).
0.6094
(d) What is the median checkout duration ? [solve 0.5 = FM).
2.8284
(e) Obtain the density function f(x).
f(x) = F'(x)
%3D
OSx< 4
otherwise
(f) Calculate E(X).
(9) Calculate V(X) and o
V(X)
(h) If the borrower is charged an amount h(X) = x2 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%2Fc34831e6-0a89-4c4a-98c8-744b6fba5136%2F43e4b816-d03b-4050-95b4-00cbc31522de%2Fetl1pi_processed.jpeg&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
4 SX
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 2).
0.2500
(b) Calculate P(1.5 SXS 2).
0.1094
(c) Calculate P(X > 2.5).
0.6094
(d) What is the median checkout duration ? [solve 0.5 = FM).
2.8284
(e) Obtain the density function f(x).
f(x) = F'(x)
%3D
OSx< 4
otherwise
(f) Calculate E(X).
(9) Calculate V(X) and o
V(X)
(h) If the borrower is charged an amount h(X) = x2 when checkout duration is x, compute the expected charge E[h(X)].
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