Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 5 - Section 5.6 - The Poisson Probability Distribution - Exercises - Page 213: 5.54


a. μ=λ=1.6 P(x=3 ) =$\frac{1.6^{3}e^{-1.6}}{3!}$ = 0.1378 b.i.$P(2\leq x \leq 3)$ =$\frac{1.6^{2}e^{-1.6}}{2!}$+$\frac{1.6^{3}e^{-1.6}}{3!}$ =0.3963 ii. $P(x\geq3)$ =1-$P(0\leq x \leq 3)$ = 0.9213 iii.$P(x\leq3)$ =$\frac{1.6^{0}e^{1.6}}{0!}$+$\frac{1.6^{1}e^{-1.6}}{1!}$+$\frac{1.6^{2}e^{-1.6}}{2!}$=0.7834

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