Q2. [5 P.] A survey shows that 80% of people who purchase pet insurance are women. If 9 pet insurance holders are randomly selected, find the probability that

a. exactly 6 are women;

b. 7 or more are women;

c. fewer than 6 are women;

d. exactly 4 are not women.

e. Compute the expected number of women who purchase pet insurance.

f. Compute the variance and standard deviation for the number of women who purchase pet insurance.