%3D K be a continuous random variable with domain D = [0, 7 and PDF 0
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 be a continuous random variable with domain D= [0, 7] and PDF
0<x < 2,
2<x < 5,
-ax + 7/10 5 <¤<7,
ax
2a
fx(x) =
%3D
0.
otherwise.
(a) Determine a.
(b) Sketch fx (x) on the domain.
(c) Give the following:
(i) E(X),
(ii) The median of X,
(iii) Pr(X < 5),
(iv) Pr(X = 3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd147183-ad22-4249-8ec6-9489d64a58e2%2Fa881f295-f780-4328-83d3-581f26e84f23%2Fxcre0xj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X be a continuous random variable with domain D= [0, 7] and PDF
0<x < 2,
2<x < 5,
-ax + 7/10 5 <¤<7,
ax
2a
fx(x) =
%3D
0.
otherwise.
(a) Determine a.
(b) Sketch fx (x) on the domain.
(c) Give the following:
(i) E(X),
(ii) The median of X,
(iii) Pr(X < 5),
(iv) Pr(X = 3).
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