Question

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=2R-2. The values of X are thus: outcome bgggbbiggbbbggggggbgbbbb x 0 2 0 2 -2 2 4 Value of Calculate the probability distribution function of X, Le the function Pra). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row values of x 0 0 0 0

Answer 1

Sale Given that los Qutcome 1 beg gbb 98b bhg 1 gbg | Joel babl bbbl I value of x 90-21 Here the appropriate probability distribution will - Tatal outcomes = 8 x 1- 9094 Ax) | 1/8 3/8 3/8 1 1/8 outcomes and each are As there equally are 8 likely. Please like