Respuesta :
Answer:
69.23% probability that a person is not qualified if he or she was not approved by the manager.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have these following probabilities:
80% probability that a person is qualified
20% probability that a person is not qualified.
90% probability that a qualified person is approved.
10% probability that a qualified person is not approved.
10% probability that an unqualified person is approved.
90% probability that an unqualified person is not approved.
Find the probability that a person is not qualified if he or she was not approved by the manager.
Desired outcomes
Unqualified and not approved.
20% are not qualified. Of those, 90% were not approved. So
[tex]0.9*0.2 = 0.18[/tex]
Total outcomes:
Qualified and not approved or unqualified and not approved.
80% are qualified. Of those, 10% were not approved
20% are not qualified. Of those, 90% were not approved. So
[tex]0.8*0.1 + 0.9*0.2 = 0.26[/tex]
Probability
[tex]P = \frac{0.18}{0.26} = 0.6923[/tex]
69.23% probability that a person is not qualified if he or she was not approved by the manager.
