Question

In a management trainee program, 80% of the trainees are female, while 20% are male. Ninety percent of the females attended college; 78% 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?

Answer 1

The probability that the person selected is a female is 80%, and the probability that the person selected is a male is 20%. The probability that the person selected is a female who attended college is 72% (90% of 80%), and the probability that the person selected is a male who attended college is 15.6% (78% of 20%). Therefore, the probability that the person selected attended college is 87.6% (72% + 15.6%).

Answer 2

Step-by-step explanation:

Let's first find the proportion of females who attended college:

80% of trainees are female

90% of females attended college

So the proportion of female trainees who attended college is 0.8 x 0.9 = 0.72.

To find the proportion of female trainees who did not attend college, we can subtract this from 1:

Proportion of female trainees who did not attend college = 1 - 0.72 = 0.28

Therefore, the probability that a person selected at random is a female trainee who did not attend college is 0.28 or 28%.