In a management trainee program 87 percent of the trainees a

In a management trainee program, 87 percent of the trainees are female, 13 percent male. Ninety percent of the females attended college, 77 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did NOT attend college?

Solution

In a management trainee program, 87 percent of the trainees are female, 13 percent male. Ninety percent of the females attended college, 77 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did NOT attend college?

P(F)= 0.87

P(M)=0.13

P( F and A) =0.87*0.90=0.783

P( F and A^c) = 0.87-0.783 =0.087

The required P=0.087

Feamle

Male

Attend

0.87*0.90=0.783

0.13*0.77= 0.1001

0.8831

Not attend

0.087

0.0299

0.1169

0.87

0.13

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