Applied Statistics and Probability for Engineers, 6th Edition

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

Chapter 3 - Section 3-7 - Geometric and Negative Binomial Distributions - Exercises - Page 91: 3-121

Answer

a)5 b)5

Work Step by Step

a) The expected number of trials to obtain the first success is: $E(x)=\frac{1}{p}=\frac{1}{0.2}=5$ b) Given that the trials are independent,after the eighth success occurs, the expected number of trials to obtain the ninth success is also $E(x)=\frac{1}{p}=\frac{1}{0.2}=5$
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