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12. In a food processing and packaging plant, there are, on the average, two packaging machine breakdowns per week. Assume the weekly machine breakdowns

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12. In a food processing and packaging plant, there are, on the average, two packaging machine breakdowns per week. Assume the weekly machine breakdowns follow a Poisson distribution. A) Find the mean and standard of this distribution. (10 points) B) Find the probability that there are no machine breakdowns in a given week? C) Find the probability that there are no more than two machine breakdowns in a given week. I D) Find the probability that there are 3 or more machine breakdowns in a given week.

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