Question 421160: At a university with 1,000 business majors, there are 200 business students enrolled
in an introductory statistics course. Of these 200 students, 50 are also enrolled in an
introductory accounting course. There are an additional 250 business students enroll-
ed in accounting but not enrolled in statistics.
If a business student is selected at random, what is the probability that the student is
either enrolled in accounting or statistics, but not both?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At a university with 1,000 business majors, there are 200 business students enrolled
in an introductory statistics course. Of these 200 students, 50 are also enrolled in an
introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics.
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If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, but not both.
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Draw a Venn diagram: a rectangle with two intersecting
circles inside.
The rectangle is 1000 business majors
The intersection of the two circles is 50 students in stat and business
There are 200-50 = 150 in stat but not in the intersection.
There are 250 in the business circle but not in the intersection.
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# in accounting or in stat = 200+300-50 = 450
P(student in account or stat) = 450/1000 = 9/20
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Cheers,
Stan H.
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