Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 3 - Section 3-5 - Discrete Uniform Distribution - Exercises - Page 79: 3-80

Answer

$\mu=E(X)=590.45 mm$ $\sigma^{2}=0.0825 mm^{2}$

Work Step by Step

Let $X=\frac{1}{10}y,y=5900,5901,...,5909$ $\mu=E(X)=\frac{1}{10}E(y)=(\frac{1}{10}).\frac{5909+5900}{2}=590.45$ $\sigma^{2}=(\frac{1}{10})^{2}.V(y)=(\frac{1}{10})^{2}.\frac{(5909-5900+1)^{2}-1}{12}=0.0825$
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