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

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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=R" -R-2. The values of X are given in the table below. Outcome bgb gbb bbb ggg bbg bgg ggb gbg Value of X 0 0 4 -2 0 -2 -2 -2 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 Px (x) 0 0 X