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The solution to Normal approximation to the binomial

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A summer resort boast that 85% of its new visitors return the next five years. Use the normal approximation to the binomial to find the probability that, of 250 new visitors this summer, at least 200 will return some time within the next five years.

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The computational details of normal approximation to the binomial probability is included in the solution.

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Let X be the number of customers who will return some time within next five years.

Given that ...

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