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: 3-51

Answer

(a) $P(X\leq50)=1$ (b) $P(X\leq40)=0.75$ (c) $P(40\leq X\leq60)=0.25$ (d) $P( X\lt0)=0.25$ (e) $P(0\leq X\lt10)=0$ (f) $P(-10\lt X\lt10)=0$

Work Step by Step

(a) $P(X\leq50)=F(50)=1$ (b) $P(X\leq40)=F(40)=0.75$ (c) $P(40\leq X\leq60)=F(60)-F(40)=1-0.75=0.25$ (d) $P( X\lt0)=P(X=-10)=0.25$ (e) $P(0\leq X\lt10)=0$ (f) $P(-10\lt X\lt10)=0$
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