In the interest of pollution control, an experimenter wants to count the number of

Chapter 7, Problem 7.101

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In the interest of pollution control, an experimenter wants to count the number of bacteria per small volume of water. Let X denote the bacteria count per cubic centimeter of water and assume that X has a Poisson probability distribution with mean = 100. If the allowable pollution in a water supply is a count of 110 per cubic centimeter, approximate the probability that X will be at most 110. [Hint: Use the result in Exercise 7.100(c).]

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