Let NKIDS represent the number of children ever born to a woman. The possible values of NKIDS are \(n k i d s=0,1,2,3,4, \ldots\) Suppose the \(p d f\) is \(f(n k i d s)=2^{\text {nkids }} /(7.389 n k i d s !)\), where ! denotes the factorial operation.

a. Is NKIDS a discrete or continuous random variable?

b. Calculate the \(p d f\) for \(n k i d s=0,1,2,3,4\). Sketch it.

c. Calculate the probabilities \(P[\) NKIDS \(\leq n k i d s]\) for \(n k i d s=0,1,2,3,4\). Sketch the cumulative distribuiton function.

d. What is the probability that a woman will have more than one child.

e. What is the probability that a woman will have two or fewer children?