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1. Suppose that the telephone calls arriving at a particular switchboard follow a Poisson process with an average of 10 calls coming per hour.

1. Suppose that the telephone calls arriving at a particular switchboard follow a Poisson process with an average of 10 calls coming per hour. Find each of the following, and round your answers to two decimal places. a. What is the probability that 8 calls will come in half an hour? b. What is the variance for the number calls per hour?

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