Answer
$E(x)=281.843$
$V(x)=975.99$
Work Step by Step
$E(x)=∑xP(x)=217\times0.005+218\times0.003+231\times0.045+255\times0.370+267\times0.151+317\times0.426=281.843$
$E(x²)=∑x²P(x)=80411.465$
$V(x)=E(x²)−[E(x)]²=975.99$
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: 3-73
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