In a management trainee program, 80 percent of the trainees are female, 20 perce

Question

In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college? Select one: a. P (male) P (did not attend college | male) b. P (did not attend college) P (male | did not attend college) c. P (male) P (did not attend college) d. P (did not attend college)

Explanation / Answer

probability that the person selected is a male who did NOT attend college is given by

=First we select a male trainee and he didn't attend college given that the trainee is male

=P(male)P (did not attend college | male)

So, option a is correct answer

probability that the person selected is a male who did NOT attend college =0.20 * 0.22 = 0.044 (4.4%)

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