Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 5 - Discrete Probability Distributions - Review Exercises - Section 5-4 - Page 306: 26



Work Step by Step

First we calculate the probability and the mean $p=8.25/1000=0.00825$ and $\lambda=np=400\times0.00825=3.3$ Use the Poisson formula $P(X;\lambda)=\frac{e^{-\lambda}\lambda^X}{X!}$ we have $P(5;3.3)=\frac{e^{-3.3}3.3^5}{5!}=0.12$
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