Question: (6 pt) How many children do women give birth to during their childbearing years? Choose at random an American woman who is past childbearing (the few women with 6 or more children are included in the "5 children" group):

a. (2 pt) Check that this probability distribution satisfies the two requirements for a legitimate discrete probability model.

b. (1 pt) Describe in words the event P(X \(\le \) 2)?

c. (1 pt) What is the probability a the event you described in part b?

d. (1 pt) What is the probability P(X < 2)?

e. (1 pt) What is the probability a woman has 3 or more children?