Answer
$0.11$
Work Step by Step
$P(X\leq3)=P(X=0)+P(X=1)+P(X=2)+P(X=3)={20\choose0}p^0(1-p)^{20}+{20\choose1}p^1(1-p)^{19}+{20\choose2}p^2(1-p)^{18}+{20\choose3}p^3(1-p)^{17}=0.00079+0.00684+0.027+0.072=0.11$
The Basic Practice of Statistics 7th Edition
by Moore, David S.; Notz, William I.; Fligner, Michael A.
Published by
W. H. Freeman
ISBN 10:
146414253X
ISBN 13:
978-1-46414-253-6
Chapter 14 - Binomial Distributions - Apply Your Knowledge - Page 333: 14.6b
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