## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 5 - Discrete Probability Distributions - 5-4 Parameters for Binomial Distributions - Basic Skills and Concepts - Page 226: 6

#### Answer

Mean:7. Standard deviation:1.87. Minimum usual value:3.26, maximum usual value:10.74.

#### Work Step by Step

Mean=$n\cdot p=14 \cdot 0.5=7$. Standard deviation: $\sqrt{n \cdot p \cdot (1-p)}=\sqrt{14 \cdot 0.5 \cdot 0.5}=1.87.$ If a value is unusual, then it is more than two standard deviations far from the mean. $Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=7-2\cdot1.87=3.26.$ $Maximum \ usual \ value=mean+2\cdot(standard \ deviation)=7+2\cdot1.87=10.74$.

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