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Doctor Specialties Below are listed the numbers of doctors in various specialties by gender.

Pediatrics Psychiatry Pathology
Male 12,575 33,020 27,803
Female  5,604 33,351 12,292

Required:
a. Find P (male|pediatrician).
b. Find P (pathologist)female).
c. Are the characteristics "female" and "pathologist" independent?

Respuesta :

The respective conditional probabilities are;

A) P(Male|pediatrician) = 0.6917

B) P(pathologist|female) = 0.24

C) No they are not independent

What is Conditional Probability?

A) We want to find P(Male|pediatrician)

This means probability that it is a male that is selected given that it is a pediatrician.

Total pediatricians = 12575 + 5604 = 18179

Thus;

P(Male|pediatrician) = 12575/18179

P(Male|pediatrician) = 0.6917

B) Find P(pathologist|female).

This means probability that it is a pathologist and given that it is a female.

Total number of females = 5604 + 33351 + 12292  = 51247

Thus;

P(pathologist|female) = 12292/51247

P(pathologist|female) = 0.24

C) From  the answers above, female and pathologist are not independent.

Read more about conditional probability at; https://brainly.com/question/23382435

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