Suppose that the genders of 3 children of a certain family are soon to be revealed. Outcomes are thus triplets of "girls" (g), and "boys" (b). Which we write, gbg,bbb, etc. For each outcome let R be the random varible X is defined in terms of R as follows X=2 R square root 2 -6 R-4. The Values of X are thus

Outcome value of X -8 gbb, -4 bbb, -8gbg, -8 bgg, -8 bgb, -4 ggg, -8 bbg, -8 ggb

Calculate the probability distribution function of X, ie, the function PX (x). 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 ___, ____ and ____ (fraction)

PX (x) square root ____, _____.