Answer
a. $0.035$
b. $0.872$
c. $0.126$
Work Step by Step
Use binomial distribution with $p=0.6, n=20$
a. Exactly 15 are employed
$P(X=15)=0.035$
b. At least 10 are employed
$P(X\geq10)=1-P(X\leq9)=0.872$
c. At most 5 are not employed outside the home
$P(X\geq15)=1-P(X\leq14)=0.126$