Question 3: The mimber of errors made by a typist while preparing any mamiseript follows a Poisson distribution. Assume that the expected number of typographical errors is the same for all manuscripts. Among every 100 manuscripts she prepares, on an average, 50 are free of any typographical errors. Let X be the mumber of typographical errors she makes while preparing a new manuscript. If she is to pay a fine of amount 2k for making k typographical errors, where k = 0, 1, 2,... Then find the expected fine she has to pay. (Hint: e" = 1+a +++=E ) a2 2! a .... 3!

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