Please solve the problem.

I. A couple and an individual are invited to an investment seminar. Suppose the probability that either the couple or the individual arrive late is 0.4 {the couple would travel together in the same vehicle, so either both will be on time or else both will be late). Also, the arrival of the couple or the individual would be independent of each other. Let the random variable X = the number of people who arrive late for the seminar. a) What is range/support of X, Le, Rx? b) Compute the probability mass function (pm of X