8. There is a 50-50 chance that the queen carries the gene of hemophilia. If she is a carrier, then each prince has a 50-50 chance of having hemophilia independently. If the queen is not a carrier, the prince will not have the disease. Suppose the queen has had three princes without the disease. What is the probability the queen is a carrier?

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Discrete Probability Distribution
8. There is a 50-50 chance that the queen carries the gene of hemophilia. If she is a carrier, then
each prince has a 50-50 chance of having hemophilia independently. If the queen is not a
carrier, the prince will not have the disease. Suppose the queen has had three princes without
the disease. What is the probability the queen is a carrier?
9. A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the
probability that in a given year that area will be hit by
(a) fewer than 4 hurricanes.
(b) anywhere from 6 to 8 hurricanes.
Transcribed Image Text:8. There is a 50-50 chance that the queen carries the gene of hemophilia. If she is a carrier, then each prince has a 50-50 chance of having hemophilia independently. If the queen is not a carrier, the prince will not have the disease. Suppose the queen has had three princes without the disease. What is the probability the queen is a carrier? 9. A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the probability that in a given year that area will be hit by (a) fewer than 4 hurricanes. (b) anywhere from 6 to 8 hurricanes.
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