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A family has 5 natural children and two adopted girls. Suppose the probability of each natural child to be boy or girl is equal, and independent with each other. Let X be the number of girls of the seven children they have, (a) calculate the probability mass function of X (b) Now we generalize this question. Suppose a family has a natural children and b adopted girls. Suppose the probability of each natural child to be boy or girl is equal, and independent with each other. Let X be the number of girls of the a + b children they have, write out the probability mass function of X.
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