Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 5 - Discrete Probability Distributions - 5-5 Poisson Probability Distributions - Basic Skills and Concepts: 1

Answer

$\mu=\frac{535}{576}=0.929, x=2, e=2.718.$

Work Step by Step

In the Poisson distribution $\mu$ is the average rate of occurence and then the probability of x successes occuring is: $P=\frac{\mu^k\cdot e^{-\mu}}{x!}$ in which $e\approx2.718$, and the mean and the variance of the distribution are both $\mu$. Here, $\mu=\frac{535}{576}=0.929, x=2, e=2.718.$
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