Elementary Statistics (12th Edition)

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

Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Basic Skills and Concepts: 15

Answer

a) Not unlikely. b)Not unlikely.

Work Step by Step

a) Events are dependent, if the outcome of one effects the outcome of the other. Here the events are independent, because the sampling was done with replacement, hence here $P(B|A)=P(B)$. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{904}{1000}\cdot\frac{904}{1000}\cdot\frac{904}{1000}=\frac{738,763,264}{1,000,000,000}>0.738>0.05.$ Hence it is not unlikely. b) Two events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because the sampling was done with out. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{904}{1000}\cdot\frac{903}{999}\cdot\frac{902}{998}=\frac{736,313,424}{997,002,000}>0.738>0.05.$ Hence it is not unlikely.
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.