Stat 225 Examples (9308)
1.
At the end of the semester, a statistics professor examines the grades for his 40
students. He notices that 5 students received A’s on the two midterms and the
final, while 20 students did not receive an A on any of the three exams. There
were 9 students who received A’s on both midterms. There were 8 students who
received A’s on the 1
st
midterm and the final, but only 6 students who received
A’s on the 2
nd
midterm and the final. In total 15 students received an A on the 1
st
midterm and 12 received an A on the 2
nd
midterm.
Using the inclusionexclusion principle, how many students received an A on the
final but did not get A’s on either midterm?
Now, draw a Venn diagram with the numbers filled in. (Hint, you should be able
to write in words what each particular section means.)
2.
Suppose a given university has only 3 departments: Math, English, and History.
Enrollment information reveals that 23% of students take Math courses, 50% take
English courses, and 36% take History courses. Only 3% of students take courses
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 Spring '08
 MARTIN
 Statistics, Probability, Probability theory, Prime number, Playing card

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