Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is bgg, then R(bgg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=3R-R"-1. The values of X are given in the table below. Outcome bgb gbb ggb bbg bgg ggg gbg bbb Value of X -1 Calculate the values of the probability distribution function of X, i.e. the function p. . First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X Px (x) X