Elementary Statistics (12th Edition)

Published by Pearson

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts: 31

Answer

a)0.328 b)0.41 c)0.738 d)It is not an unusually low probability.

Work Step by Step

a) $P(X=0)={5\choose 0} \cdot (0.2)^0\cdot (0.8)^5=0.328.$ b)$P(X=1)={5\choose 1} \cdot (0.2)^1\cdot (0.8)^4=0.41.$ c)$P(X=0 \ or X=1)=P(X=0)+P(X=1)={5\choose 0} \cdot (0.2)^0\cdot (0.8)^5+{5\choose 1} \cdot (0.2)^1\cdot (0.8)^4=0.328+0.41=0.738$ d) No, it is not an unusually low probability, because 0.738 is really high, more than 0.05.

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