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(x) 0 ≤ x < 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 ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration μ? [solve 0.5 = : F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (f) Calculate E(X). 0≤x < 4 otherwise
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(x) 0 ≤ x < 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 ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration μ? [solve 0.5 = : F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (f) Calculate E(X). 0≤x < 4 otherwise
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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Q2.1. Please answer 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 the following.
0
x < 0
F(x)
0 ≤ x < 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 ≤ 3).
(b) Calculate P(2.5 ≤ x ≤ 3).
(c) Calculate P(X> 3.5).
(d) What is the median checkout duration μ? [solve 0.5 = : F(μ)].
(e) Obtain the density function f(x).
f(x) = F'(x)
(f) Calculate E(X).
0≤x < 4
otherwise](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6be9064-f0d8-4347-98bd-8b0b263612a8%2F2d1c58cb-ac30-46ea-a6a7-d6ed8bcec500%2F314tuq_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
F(x)
0 ≤ x < 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 ≤ 3).
(b) Calculate P(2.5 ≤ x ≤ 3).
(c) Calculate P(X> 3.5).
(d) What is the median checkout duration μ? [solve 0.5 = : F(μ)].
(e) Obtain the density function f(x).
f(x) = F'(x)
(f) Calculate E(X).
0≤x < 4
otherwise
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