In: Statistics and Probability
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?