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).
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
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4fac401-f688-4a8e-b637-a2500ce6ac46%2F25285b53-3ed9-4fd7-8991-75dcdf3ef3ef%2Fnyo28ol_processed.jpeg&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.
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)
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