Answer
a. $0.346$
b. $0.913$
c. $0.663$
d. $0.683$
Work Step by Step
$p=0.4, n=5$
a. Exactly 2 people will agree with that statement.
$P(X=2)=_5C_20.4^20.6^3=0.3456$
b. At most 3 people will agree with that statement.
$P(X\leq3)=P(X=0)+P(X=1)+P(X=2)+P(X=3)=0.078+0.259+0.346+0.230=0.913$
c. At least 2 people will agree with that statement.
$P(X\geq2)=1-P(X\leq1)=0.663$
d. Fewer than 3 people will agree with that statement.
$P(X\leq2)=P(X=0)+P(X=1)+P(X=2)=0.683$
