3-84. Show that for a discrete uniform random variable X , if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c². That is, show that E(cX)=cE(X)and V(cx)=c²v(x). %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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3-84. Show that for a discrete uniform random variable X, if each
of the values in the range of X is multiplied by the constant c, the
effect is to multiply the mean of X by c and the variance of X by c².
That is, show that E(cX)=cE(x) and V (cX)=c²v(x).
Transcribed Image Text:3-84. Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c². That is, show that E(cX)=cE(x) and V (cX)=c²v(x).
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