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4. Question: Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a

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4. Question: Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5. (a) What is the probability that the next three babies are of the same sex? (b) Define events A = (the next two babies are boys) and B = (at least one of the next two babies is a boy). Are events A and B disjoint? Complements? Independent? (c) Define event B = (at least one of the next two babies is a boy). What is the probability of the complement of event B? (d) What is the probability that at least one of the next three babies is a boy

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