A typist, on average, makes three typing errors in every

Chapter , Problem 5

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A typist, on average, makes three typing errors in every two pages. If pages with more than two errors must be retyped, on average how many pages must she type to prepare a report of 200 pages? Assume that the number of errors in a page is a Poisson random variable. Note that some of the retyped pages should be retyped, and so on. Hint: Find p, the probability that a page should be retyped. Let Xn be thenumber of pages that should be typed at least n times. Show that E(X1) = 200p,E(X2) = 200p2, ... , E(Xn) = 200pn. The desired quantity is E!/i=1 Xi",which can be calculated using relation (10.2).

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