Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 2 - Section 2-6 - Independence - Exercises - Page 52: 2-146

Answer

Not independent.

Work Step by Step

We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$ Hence $P(A)=\frac{70+16}{100}=0.86$, $P(B)=\frac{70+9}{100}=0.79$, $P(A\cap B)=\frac{70}{100}=0.7$. $P(A)P(B)=0.86\cdot0.79=0.6794\ne0.7=P(A\cap B)$, thus they are not independent.
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.