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 male who did not attend college?

Respuesta :

Step 1:
Females who attend college = 0.80 * 0.90 = 0.72

 Step 2:
 Females who did not attend college = 0.80 * 0.10 = 0.08

  Step 3
Male who attend College 0.20 * 0.78 = 0.156

Step 4
Male who did not attend college 0.20 * 0.22 = 0.044 So 0.044(4.4%) is the probability that the person selected is a male who did not attend college

Male trainees not attending college is 4.4%.

What is probability ?

It means the likeness of something to take place. When there is doubt about the outcome, we calculate probability.it is a number of events divided by number of outcomes.

Given:

No. of female trainees=80%

No. of male trainees=20%

Female trainees attending college=90%

Male trainees attending college=78%

  1. Females trainees attending college = 0.80 * 0.90 = 0.72 i.e.72%
  2. Females trainees not attending college = 0.80 * 0.10 = 0.08 i.e. 8%
  3. Male trainees attending College= 0.20 * 0.78 = 0.156 i.e.15.6%
  4. Male trainees  not attending college= 0.20 * 0.22 = 0.044 i.e. 4.4%

so probability of male trainees not attending college is 4.4%

Therefore, male trainees not attending college is 4.4%.

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