Question 886708
Listed in the table below are the numbers of doctors in various specialties by gender. If one doctor is chosen at random,

        Pathology      Pediatrics      Psychiatry          Total
Male     12,575            33,020        27,803            73,398
Female    5,604            33,351        12,292            51,247
Total    18,179            66,371        40,095          124,645
PART A
i)Find the probability that the doctor is a male given that he is a pediatrician.:: 33,020/66,371
ii)Find the probability that the doctor is a pathologist given that she is a female.::5604/51,247
iii)Are the characteristics “female” and “pathologist” independent? Explain.
Check P(path|female) = P(path)*P(female)
If they are equal path and female are independent.
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i)What percent of doctors are male who are psychiatrists?::27,803/40,095 
ii)What percent of the psychiatrists are male?27,803/40,096
iii)What percent of male doctors are psychiatrists?27,803/73,398
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Cheers,
Stan H.
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