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: 28

Answer

$\approx0.874$

Work Step by Step

Using the formula for binomial experiments, the probability is: $P(k\leq3)=P(k=0)+P(k=1)+P(k=2)+P(k=3)=_{7}C_{0}(0.3)^{0}(0.7)^{7-0}+_{7}C_{1}(0.3)^{1}(0.7)^{7-1}+_{7}C_{2}(0.3)^{2}(0.7)^{7-2}+_{7}C_{3}(0.3)^{3}(0.7)^{7-3}\approx0.874$
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