The ideal size of the first-year class at a particular college is 3300 students. The college, knowing from past experien

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The ideal size of the first-year class at a particular college
is 3300 students. The college, knowing from past experience that on
average only 40 percent of those accepted for
admission will actually attend, uses a policy of approving the
applications of 8000 students.
a. Use a binomial random variable to find the exact
probability
that more than 3300 first-year students attend this college.
b. Use the Central Limit Theorem to approximate the probability
that more than 3300
first-year students attend this college.