ALEKS suppose that the genders of the three children of a certain family are soo

Question

ALEKS 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 gba, obb.etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is gaa then Rlaag) -3 Suppose that the random variable X terms of R as follows x R R-3 The values of X are thus: in Calculate the probabity destntsution function of x.ie the function p x) Fast, in the first row with the values of x Then fir in the appropriate probabilties in the second row value ofr 0

Explanation / Answer

as probabilty of each outcome in upper table is 1/8

hence as -3 appears 4 times.,hence P(X=-3)=4/8

also -1 apperas 3 times ; hence P(X=-1)=3/8

ans for 3 appears once ; hence P(X=3)=1/8

hence

value of X -3 -1 3 P(x) 4/8 3/8 1/8

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