Applied Statistics and Probability for Engineers, 6th Edition

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

Chapter 3 - Section 3-3 - Cumulative Distribution Functions - Exercises - Page 73: 3-52

Answer

(a) $P(X\leq1/18)=0$ (b) $P(X\leq1/4)=0.9$ (c) $P(X\leq5/16)=0.9$ (d) $P( X\gt1/4)=0.1$ (e) $P(X\leq1/2)=1$

Work Step by Step

(a) $P(X\leq1/18)=0$ (b) $P(X\leq1/4)=F(1/4)=0.9$ (c) $P(X\leq5/16)=F(5/16)=0.9$ (d) $P( X\gt1/4)=1-F(1/4)=1-0.9=0.1$ (e) $P(X\leq1/2)=F(1/2)=1$
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