g. Calculate 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)].
g. Calculate 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)].
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Just parts g and h
![g. Calculate 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)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9974cb88-485f-4954-981d-1d67477878d4%2F971130d3-84b3-4f96-b63b-655c803ec5dd%2F0ptrsda_processed.png&w=3840&q=75)
Transcribed Image Text:g. Calculate 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)].
![Let X denote the amount of time a book on two-hour
reserve is actually checked out, and suppose the cdf is
(0
x<0
F(x) =
0≤x<2
2≤x
a. Calculate P(X ≤ 1).
b. Calculate P(.5 ≤ x ≤ 1).
c. Calculate P(X>1.5).
d. What is the median checkout duration ? [solve
.5 = F(μ)].
e. Obtain the density function f(x).
f. Calculate E(X).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9974cb88-485f-4954-981d-1d67477878d4%2F971130d3-84b3-4f96-b63b-655c803ec5dd%2Fhhdd9k_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
(0
x<0
F(x) =
0≤x<2
2≤x
a. Calculate P(X ≤ 1).
b. Calculate P(.5 ≤ x ≤ 1).
c. Calculate P(X>1.5).
d. What is the median checkout duration ? [solve
.5 = F(μ)].
e. Obtain the density function f(x).
f. Calculate E(X).
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