Elementary Statistics (12th Edition)

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

Chapter 5 - Discrete Probability Distributions - 5-4 Parameters for Binomial Distributions - Basic Skills and Concepts: 10

Answer

a) Mean:145. Standard deviation:10.43. b)It is not unusually high. Also, Mendel's theory seems to be true.

Work Step by Step

a) Mean=$n\cdot p=580 \cdot 0.25=145$. Standard deviation: $\sqrt{n \cdot p \cdot (1-p)}=\sqrt{580 \cdot 0.25 \cdot 0.75}=10.43.$ b) If a value is unusual, then it is more than two standard deviations far from the mean. $Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=145-2\cdot10.43=124.14$ $Maximum \ usual \ value=mean+2\cdot(standard \ deviation)=145+2\cdot10.43=165.86$. 152 is between these two values, therefore it is not unusually high. Also, Mendel's theory seems to be true.
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