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A traveling circus has found that its average attendance per performance is 6000 people with a standard deviation of 1500. Assume that attendance is normally distributed.

a) Suppose that a town asks the circus to come, but the only available site in town holds a maximum of 8000 people. What is the probability that this site will reach capacity?

b) If the circus loses money on 20% of its performances, what attendance must it have to break even for a performance?

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