5. A truncated discrete distribution is one in which a particular class cannot be observed. (10 points) a. Suppose X is a discrete random variable with the support x = {0, 1, 2, ...,} and PMF Px. Show that the 0-truncated random variable Xy has the PMF P(X = x) P(XT = ) = P(X > 0) b. Consider the 0-truncated Negative binomial random variable XT. Show that its PMF as r - 0 can be written as P(XT = x) = (1-p)? ax In(p) -, x = 1, 2,3... 0