Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 10 Counting Methods and Probability - 10.6 Construct and Interpret Binomial Distributions - 10.6 Exercises - Skill Practice - Page 728: 29

Answer

$\approx0.594$

Work Step by Step

Using the formula for binomial experiments, the probability is: $P(k\geq5)=P(k=5)+P(k=6)+P(k=7)+P(k=8)=_{8}C_{5}(0.6)^{5}(0.4)^{8-5}+_{8}C_{6}(0.6)^{6}(0.4)^{8-6}+_{8}C_{7}(0.6)^{7}(0.4)^{8-7}+_{8}C_{8}(0.6)^{8}(0.4)^{8-8}\approx0.594$
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