Answer
μ=2,
σ²=2
Work Step by Step
Given,
P(x=0)=P(x=1)=P(x=2)=P(x=3)=P(x=4)=0.2, then,
μ=E(x)=∑xP(x)=0×0.2+1×0.2+2×0.2+3×0.2+4×0.2=2,
σ²=V(x)=∑x²P(x)-μ²=0²×0.2+1²×0.2+2²×0.2+3²×0.2+4²×0.2-2²=2
Applied Statistics and Probability for Engineers, 6th Edition
by Montgomery, Douglas C.; Runger, George C.
Published by
Wiley
ISBN 10:
1118539710
ISBN 13:
978-1-11853-971-2
Chapter 3 - Section 3-4 - Mean and Variance of a Discrete Random Variable - Exercises - Page 77: 3-57
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