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 1172502: 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?
iii)Given that the employee selected has graduate training, what is the probability that he is a Bumiputra.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
.75B--.2GT----------.15 total
-------.5CT----------.375 total
-------.3 other-------.225 total
.25NB--.4GT---------.10 total
--------.2CT---------.05 total
--------.4other-------.10 total
for college training, it is .375 from B and .05 from NB or 0.425 together.
for graduate training, the total is .25 and .15 of that or 60% is B.