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 girls in each outcome. For example, if the outcome is gbb, then R(gbb) = 1. Suppose that the random variable X is defined in terms of R as follows: X= 2R-R"-2. The values of X are given in the table below. Outcome bbg gbg ggb bgg gbb bbb ggg bgb Value of X -2 -2 -5 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 & of X Px (x) 0 0 X