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A college is considering a new core curriculum that would require all undergraduates to study a...

A college is considering a new core curriculum that would require all undergraduates to study a foreign language. The student newspaper plans to interview several faculty members and report their opinions. Suppose that in fact 80% of the faculty support the language requirements.

a) If the newspaper interviews 100 faculty members, then what is the probability that more than seventy will support the language requirement?

b) If the newspaper interviews 10 faculty members, what is the probability that exactly seven will support the language requirement?

c) If the newspaper interviews 10 faculty members, what is the probability that at least eight will support the language requirement?

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