Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 s X S 2). (c) Calculate P(X > 2.5).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
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.
X < 0
x2
F(x) =
0 < x < 4
16
4 < x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X < 2).
(b) Calculate P(1.5 < X < 2).
(c) Calculate P(X > 2.5).
(d) What is the median checkout duration u? [solve 0.5 = F(¤)].
(e) Obtain the density function f(x).
f(x) = F'(x)
0<x < 4
otherwise
(f) Calculate E(X).
(g) Calculate V(X) and o
V(X)
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) = 0 < x < 4 16 4 < x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 < X < 2). (c) Calculate P(X > 2.5). (d) What is the median checkout duration u? [solve 0.5 = F(¤)]. (e) Obtain the density function f(x). f(x) = F'(x) 0<x < 4 otherwise (f) Calculate E(X). (g) Calculate V(X) and o V(X)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman