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Applications:
1. A newly-wed couple plans to have children, and will continue until the first girl. What is the
probability that there are zero boys before the first girl, one boy before the first girl, two boys before
the first girl, and so on?
2. A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available
anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is
p=0.6. What is the probability that the first drug found to be effective for this patient is the first drug
tried, the second drug tried, and so on?
3. A patient is waiting for a suitable matching kidney donor for a transplant. If the probability that a
randomly selected donor is a suitable match is p=0.1, what is the expected number of donors who will
be tested before a matching donor is found?

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chapter -7.pptx

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  • 8. Applications: 1. A newly-wed couple plans to have children, and will continue until the first girl. What is the probability that there are zero boys before the first girl, one boy before the first girl, two boys before the first girl, and so on? 2. A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is p=0.6. What is the probability that the first drug found to be effective for this patient is the first drug tried, the second drug tried, and so on? 3. A patient is waiting for a suitable matching kidney donor for a transplant. If the probability that a randomly selected donor is a suitable match is p=0.1, what is the expected number of donors who will be tested before a matching donor is found?