Elementary Statistics (12th Edition)

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

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.