Please provide clear answers

m LO N 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 -2R-4. The values of X are given in the table below. Outcome bbb gbg gbb ggg ggb bgg bgb bbg Value of X Calculate the values of the probability distribution function of X, i.e. the function py. 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 X PX (x)