Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0 x < 0 f 0 < x < 4 16 1 F(x) = 2 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 ≤ x ≤ 2). 4 ≤ x (c) Calculate P(x > 2.5). (d) What is the median checkout duration μ? [solve 0.5 = F()]. (f) Calculate E(X). (e) Obtain the density function f(x). f(x) = f'(x) x (g) Calculate V(X) and o V(X) 0≤x < 4 otherwise (h) If the borrower is charged an amount (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 the following. 0 x < 0 f 0 < x < 4 16 1 F(x) = 2 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 ≤ x ≤ 2). 4 ≤ x (c) Calculate P(x > 2.5). (d) What is the median checkout duration μ? [solve 0.5 = F()]. (f) Calculate E(X). (e) Obtain the density function f(x). f(x) = f'(x) x (g) Calculate V(X) and o V(X) 0≤x < 4 otherwise (h) If the borrower is charged an amount (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
![Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
0
x < 0
0 < x < 4
F(x) =
{
2
16
1
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 ≤ x ≤ 2).
x
4 ≤ x
(c) Calculate P(x > 2.5).
(f) Calculate E(X).
(d) What is the median checkout duration μ? [solve 0.5 = F()].
(e) Obtain the density function f(x).
f(x) = f'(x)
(g) Calculate V(X) and o
V(X)
0≤x < 4
otherwise
(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%2F76f82bca-2e06-4b52-871e-030d9772d229%2Fc0450ac9-021b-4888-9a53-741b4946cccb%2Fr1l49qr_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.
0
x < 0
0 < x < 4
F(x) =
{
2
16
1
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 ≤ x ≤ 2).
x
4 ≤ x
(c) Calculate P(x > 2.5).
(f) Calculate E(X).
(d) What is the median checkout duration μ? [solve 0.5 = F()].
(e) Obtain the density function f(x).
f(x) = f'(x)
(g) Calculate V(X) and o
V(X)
0≤x < 4
otherwise
(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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