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A Human Gene Carries a Certain Disease from a Mother

Question 212

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A human gene carries a certain disease from a mother to her child with a probability rate
of 0.30. That is, there is a 30% chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children. Assume that the infections, or lack
thereof, are independent of one another. Find the probability that none of the children get
the disease from their mother.

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Let D be the event of a single child get...

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