SOLUTION: In an electrical firm, 75% of the employees are Bumiputras. Of the Bumiputras, 20% have graduate training, 50% have college training and others have only hig

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Question 1172487: In an electrical firm, 75% of the employees are Bumiputras. Of the Bumiputras, 20% have graduate training, 50% have college training and others have only high school training. Of non-bumiputras, 40% have graduate training, 20% have college training and others have high school training.
i)Draw a tree diagram to represent the above situation
ii)If an employee is selected at random, what is the probability that he has college training?
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
0.75 0.25
0.20 0.50 0.30 0.40 0.20 0.40
Grad C0llege Other Grad C0llege Other
ii)If an employee is selected at random, what is the probability that he has college training?
Independ3ent Events
P = highlight_green%28.75%28.50%29+%2B+.25%28.20%29%29
iii)Given that the employee selected has graduate training, what is the probability that he is a Bumiputra.
P(A|B) = P(A and B)/P(B) Bayes Theorem
P =(Bumiputra|graduate) = P(BOTH)/P(grad) = highlight_green%28+.75%28.20%29%2F+%28.75%28.20%29+%2B+.25%28.40%29%29%29