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: 3-41

Answer

$F(x)=\left\{\begin{array}{ll}{0,} & {X<0} \\ {\frac{1}{25},} & {0 \leq X<1} \\ {\frac{4}{25},} & {1 \leq X<2} \\ {\frac{9}{25},} & {2 \leq X<3} \\ {\frac{16}{25},} & {3 \leq X<4} \\ {1,} & {X \geq 4}\end{array}\right.$

Work Step by Step

$F(x)=\left\{\begin{array}{ll}{0,} & {X<0} \\ {\frac{1}{25},} & {0 \leq X<1} \\ {\frac{1+3}{25}=\frac{4}{25},} & {1 \leq X<2} \\ {\frac{4+5}{25}=\frac{9}{25},} & {2 \leq X<3} \\ {\frac{9+7}{25}=\frac{16}{25},} & {3 \leq X<4} \\ {1,} & {X \geq 4}\end{array}\right.$
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