An experimenter is comparing two methods for removing bacteria colonies from processed
Chapter 7, Problem 7.103(choose chapter or problem)
An experimenter is comparing two methods for removing bacteria colonies from processed luncheon meats. After treating some samples by method A and other identical samples by method B, the experimenter selects a 2-cubic-centimeter subsample from each sample and makes bacteria colony counts on these subsamples. Let X denote the total count for the subsamples treated by method A and let Y denote the total count for the subsamples treated by method B. Assume that X and Y are independent Poisson random variables with means 1 and 2, respectively. If X exceeds Y by more than 10, method B will be judged superior to A. Suppose that, in fact, 1 = 2 = 50. Find the approximate probability that method B will be judged superior to method A.
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