Employed women. If 60% of all women are employed outside of home, find the probability that in a sample of 20 women,
A. Exactly 15 are employed
B. At least 10 are employed
C. At most 5 are not employed outside the home

Question

Employed women.  If 60% of all women are employed outside of home, find the probability that in a sample of 20 women,
A. Exactly 15 are employed
B. At least 10 are employed
C. At most 5 are not employed outside the home

ybarrap · Answer

You can use the binomial distribution
A.
$$
p=0.6\
q=1-p\
{20\choose15}p^{15}q^{5}
$$
B.
$$
\sum _{n=10}^{20}{20\choose n}p^{n}q^{20-n}
$$
C
B.
$$
\sum _{n=6}^{20}{20\choose n}p^{n}q^{20-n}
$$

Make sense?