Twenty percent of the employees in a company are college graduates. Of these 75% are in supervisory positions. Of the noncollege employees, 20% are in supervisory positions. What is the probability that a randomly selected supervisor is a college graduate?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Twenty percent of the employees in a
company are college graduates. Of these
75% are in supervisory positions. Of the
noncollege employees, 20% are in
supervisory positions. What is the
probability that a randomly selected
supervisor is a college graduate?

Expert Solution
Step 1

Given that:

Probability that a person is college graduate is, P(G)=0.20

Probability that a college graduate is a supervisor is, P(S|G)=0.75

Probability that a non-college employee is a supervisor, P(S|G¯)=0.20

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