Let X be a random variable with CDF: x < -1x/4 + 1/2 -1

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Answered: x < -1 Fx(x) = x/4+1/2 -1 < x < 1 %3D 1…

x < -1 Fx(x) = x/4+1/2 -1 < x < 1 %3D 1 Sketch the CDF and then find the following: a) P[X < 1] and P[X < 1]. b) The PDF fx(x). c) The mean E[X]. d) The variance oz.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.6: Rules For Multiplication

Problem 19WE

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Question

Let X be a random variable with CDF:

x < -1
x/4 + 1/2 -1 <x < 1
1< x
Fx(x) =
1
Sketch the CDF and then find the following:
a) P[X < 1] and P[X < 1].
b) The PDF fx(x).
c) The mean E[X].
d) The variance o.

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