Question: 1.Bayes' Rule A company has a training program to help its salespeople make their quotas.About 80% of its sales force is trained.Of those who are

1.Bayes' Rule

A company has a training program to help its salespeople make their quotas.About 80% of its sales force is trained.Of those who are NOT trained, 65% do NOT make their quota.Of those who ARE trained, 15% do not make their quota.

To evaluate the training program, the company wants to find that of those who made their quota, what is the probability they were trained.

a.Draw the probability tree you need below.

b.Calculate the joint probabilities at the ends of the branches in the tree above.

c.What is the probability that someone made their quota? (Show work)

d.What is the probability that someone did NOT make their quota? (show work)

e.If someone made their quota, what was the chance they were trained?

f.If someone did not make their quota, what is the probability they were NOT trained?

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