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We believe that 80% of the population of all Calculus I students consider calculus an exciting...

We believe that 80% of the population of all Calculus I students consider calculus an exciting subject. Suppose we randomly and independently selected 24 students from the population. If the true percentage is really 80%, find the probability of observing 23 or more of the students who consider calculus to be an exciting subject in our sample of 24.

In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 5 of them favor the building of the health center.

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