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The number of errors needing correction on each page of a

The number of errors needing correction on each page of a set of proofs follows a Poisson distribution of mean μ . The cost of the first correction on any page is α and that of each subsequent correction on the same page is β . Prove that the average cost of correcting a page is
α + β ( μ - 1) - ( α - β ) e - μ .

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