SOLUTION: At a university 20% of the students major in business. Of the business majors, 50% are males. Of all students at the university 60% are males. If a student is selected at random fr

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Question 909045: At a university 20% of the students major in business. Of the business majors, 50% are males. Of all students at the university 60% are males. If a student is selected at random from this university, what is the propability that this student:
a) is a male majoring in business?
b) is either a male or a business major?
c) is a female not majoring in business))
D) is a business major if the student is female?
E) is a male if the student is not a business major?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) is a male majoring in business? .50*.20
b) is either a male or a business major? .60 + .20 - .50*.20
c) is a female not majoring in business)) .40*.80
P(A|B) = P(A and B)/P(B)
D) is a business major if the student is female? P(bus|F) = .50* .20/.40
E) is a male if the student is not a business major? P(M|not bus) = .60*.80/.80