Answer
$0.89$
Work Step by Step
$P(X\gt3)=1-P(X\leq3)=1-(P(X=0)+P(X=1)+P(X=2)+P(X=3))=1-({20\choose0}p^0(1-p)^{20}+{20\choose1}p^1(1-p)^{19}+{20\choose2}p^2(1-p)^{18}+{20\choose3}p^3(1-p)^{17})=1-(0.00079+0.00684+0.027+0.072)=0.89$
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