SOLUTION: A married couple is planning to have 2 children and is interested in knowing the probabilities of having 0 girls, 1 girl or 2 girls. Assume the probability of having a girl is 0.5

Question 73663: A married couple is planning to have 2 children and is interested in knowing the probabilities of having 0 girls, 1 girl or 2 girls. Assume the probability of having a girl is 0.50 in any one birth.
construct a probability distribution of the random variable x, where x is the # of girls born to this couple..
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
P(x=0)=3C0 1/2)^0 * 1/2)^3=1/8
P(x=1)=3C1 (1/2)^1 * (1/2)^2 = 3*1/8 = 3/8
P(x=2)=3C2 (1/2)^2 * 1/2)^1 = 3*1/8 = 3/8
P(x=3)=3C3 (1/2)^3 * (1/2)^0 = 1*(1/2)^3*(1/2)^0 = 1/8
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Cheers,
Stan H.
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