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In: Statistics and Probability

According to a study published by a university, about two-thirds of the 20 million people who...

According to a study published by a university, about two-thirds of the 20 million people who consume Valium in the US are women. Suppose a doctor who specializes in solving anxiety problems and muscle spasms always prescribe Valium to his patients. Also suppose that the possibility of the doctor rattling a female patient is 2/3.   

a) Find the probability that the fifth Valium prescription given by a doctor is the first valium prescription for a woman. (what distribution should I use?)


b) What is the probability that the doctor will see five patients until three women receive the Valium prescription?

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