In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in.

x P(x)

0........................0.272

1........................0.575

2........................0.121

3........................0.027

4........................0.004

5........................0.001

(a) Verify that this is a discrete probability distribution.

(b) Draw a graph of the probability distribution. Describe the shape of the distribution.

(c) Compute and interpret the mean of the random variable X.

(d) Compute the standard deviation of the random variable X.

(e) What is the probability that a randomly selected individual 15 years or older was involved in two marriages?

(f) What is the probability that a randomly selected individual 15 years or older was involved in at least two marriages?