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Tay-Sachs disease is a rare but fatal disease of genetic origin occurring mostly in infants and...

Tay-Sachs disease is a rare but fatal disease of genetic origin occurring mostly in infants and children, especially those of Jewish or Eastern European descent. If a couple is both carriers of Tay-Sachs disease, a child of theirs has probability .25 of being born with the disease. If such a couple has four children, what is the probability mass function for the number of children who will have the disease? What important assumption did you make? Please define all notation, state any assumptions, and clearly state the probability mass function as a formula.

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