Fertile, female cats produce an average of three litters per year. Suppose that one fertile, female cat is randomly chosen.

In one year, find the probability she produces:

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _______

d. Find the probability that she has no litters in one year.

e. Find the probability that she has at least two litters in one year.

f. Find the probability that she has exactly three litters in one year.