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.
ii)Find the probability that the doctor is a pathologist given that she is a female.
iii)Are the characteristics “female” and “pathologist” independent? Explain.
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i)What percent of doctors are male who are psychiatrists?
ii)What percent of the psychiatrists are male?
iii)What percent of male doctors are psychiatrists?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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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