let the random variable x represent the number of boys in the family construct the probability distribution for the family of two children

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$P(X=0)=(\frac{1}{2})^2=\frac{1}{4}.$

$P(X=1)=(\frac{1}{2})^2*2=\frac{1}{2}.$

$P(X=2)=(\frac{1}{2})^2=\frac{1}{4}.$

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