Let X be a continuous random variable with domain D = [0, 7] and PDF 0

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let X be a continuous random variable with domain D = [0, 7] and PDF
0<x < 2,
2< r < 5,
2a
fx(r) =
-ar +7/10 5<r<7,
otherwise.
(a) Determine a.
(b) Sketch fx(r) on the domain.
(c) Give the following:
(i) E(X),
(ii) The median of X,
(iii) Pr(X <5),
(iv) Pr(X 3).
Transcribed Image Text:Let X be a continuous random variable with domain D = [0, 7] and PDF 0<x < 2, 2< r < 5, 2a fx(r) = -ar +7/10 5<r<7, otherwise. (a) Determine a. (b) Sketch fx(r) 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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