Problem 2. Consider a population consisting of the number of students per college at small colleges. Suppose that the number of studens per college has an average u = 320 and a standard deviation a = 24. Use the Chebychev's Theorem to make a statement about the percentage (lower bound) of colleges that have a) between 284 and 356 students; b) between 272 and 368 students; c) between 260 and 380 students.

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Problem 2. Consider a population consisting of the number of students per
college at small colleges. Suppose that the number of studens per college has an
average u = 320 and a standard deviation o = 24. Use the Chebychev's Theorem to
make a statement about the percentage (lower bound) of colleges that have
a) between 284 and 356 students;
b) between 272 and 368 students;
c) between 260 and 380 students.
d) Assume now that the population is normally distributed (mound-shaped).
What fraction of colleges have a number of students between 344 and 368? And
between 272 and 296?
Transcribed Image Text:Problem 2. Consider a population consisting of the number of students per college at small colleges. Suppose that the number of studens per college has an average u = 320 and a standard deviation o = 24. Use the Chebychev's Theorem to make a statement about the percentage (lower bound) of colleges that have a) between 284 and 356 students; b) between 272 and 368 students; c) between 260 and 380 students. d) Assume now that the population is normally distributed (mound-shaped). What fraction of colleges have a number of students between 344 and 368? And between 272 and 296?
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