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2. Suppose the service time S to receive a vaccination has mean 5 minutes. (a) Can you obtain a good upper bound on the probability

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2. Suppose the service time S to receive a vaccination has mean 5 minutes. (a) Can you obtain a good upper bound on the probability that S is greater than or equal to 30 minutes? (b) Suppose that you also know that the standard deviation is 6 minutes. What is the squared coefficient of variation of S? (c) Suppose that you only know that the service time S has ]E[S3] = 500 minutes3. Can you obtain a better upper bound on the probability that S is greater than or equal to 30 minutes

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