In a company, 15% of the employees are graduates and 85% of the employees are non-graduates. as per the annual report of the company, 80% of the graduate employees and 10% of the non-graduate employees are in the administrative positions. find the probability that an employee selected at random from those working in administrative positions will be a graduate.
Answer:
Step-by-step explanation:
Let G be the event that the selected employee is a graduate, and NG be the event that the selected employee is non-graduate.
Clearly, G and NG forms a mutually exclusive and exhaustive set of events.
Further, let A be the event that the selected employee works in administrative office.
According to the problem, we have to find, the selected employee is a graduate given he/she works in the administrative position P(G/A).
By Bayes' theorem,
Now, Probability of an employee to be graduate =
Probability of an employee to be non-graduate =
Probability of an employee working in administrative office given he is a graduate =
Probability of an employee working in administrative office given he is a non-graduate =
Substituting the values in
