Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Page 223: 48

Answer

This equation is a good representation.

Work Step by Step

We know the following equation: $P(x)=\frac{.93^x\cdot e^{-.93}}{x!}$ $P(x)=\frac{.395(.93^x)}{x!}$ Using this, we find: $P(0)=\frac{.395(.93^0)}{0!}=.395$ $P(1)=\frac{.395(.93^1)}{1!}=.367$ $P(2)=\frac{.395(.93^2)}{2!}=.171$ $P(3)=\frac{.395(.93^3)}{3!}=.053$ $P(4)=\frac{.395(.93^4)}{4!}=.012$ $P(5)=\frac{.395(.93^5)}{5!}=.002$ $P(6)=\frac{.395(.93^6)}{6!}=.0004$ $P(7)=\frac{.395(.93^7)}{7!}=.00005$ Comparing these to the actual probabilities, we see that this equation is a fairly good representation of the actual numbers.
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