## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 5 - Discrete Probability Distributions - 5-5 Poisson Probability Distributions - Basic Skills and Concepts - Page 233: 5

#### Answer

0.000203, 0 is unlikely.

#### Work Step by Step

By using the formula: $P(0)=\frac{\mu^k\cdot e^{-\mu}}{x!}=\frac{8.5^0\cdot e^{-8.5}}{0!}=0.000203.$ If a value is unusual, then it is more than two standard deviations far from the mean. $Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=8.5-2\cdot\sqrt{8.5}=2.67$ $Maximum \ usual \ value=mean+2\cdot(standard \ deviation)=8.5+2\cdot\sqrt{8.5}=14.33$. 0 is less than the lower bound therefore it is unlikely.

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