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8 = 9 = 10 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus

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8 = 9 = 10 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 gbb, then R (gbb) =2. Suppose that the random variable X is defined in terms of R as follows: X=R -3R-3. The values of X are given in the table below. Outcome ggg bbb gbg bgg ggb bbg gbb bgb Value of X -3 -3 -5 5 -5 -5 -5 -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 appropria probabilities in the second row. Value X of X X P Px (x)

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