Question: A hospital unit has a total staff of twenty doctors and nurses. A breakdown of the staff is provided in the following two-way classification table:

1. If one staff member is selected at random,

1. what is the probability that the staff member is a doctor?
2. what is the probability that the staff member is a male or a doctor?
3. what is the probability that the staff member is neither male nor a doctor?
4. what is the probability that the staff member is a female and a doctor?
5. what is the probability that the person selected is male given the person is a doctor?

b. Are the events F = Female and D = Doctor independent? Show your proof.

c. Are the events F and D mutually exclusive? Why?

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