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) = a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X> 1.5). 0≤x≤2 2≤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) = a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X> 1.5). 0≤x≤2 2≤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
![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%2F42daa8c5-72de-4359-8334-1f6a7208a6da%2Fy2i2vpj_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%2F42daa8c5-72de-4359-8334-1f6a7208a6da%2Fg42luf9_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).
Expert Solution
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Parts d, e, and f
![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).](https://content.bartleby.com/qna-images/question/9974cb88-485f-4954-981d-1d67477878d4/8325b9ae-9deb-4e45-b471-447f0efe7517/24qb11b_thumbnail.png)
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).
Solution
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