Suppose that an Enigma machine operator makes a mistake on one of every 80 letters transmitted on average independently of their mistakes on other letters. Today they have sent a 135-letter message. (a) Calculate the precise probability that the operator made a mistake on either 1 or 2 of the letters in this message. (b) Approximate the probability in (a) using the Poisson distribution. Do you think this approximation is a good one? Why?

Suppose that an Enigma machine operator makes a mistake on one of every 80 letters transmitted on average independently of their mistakes on other letters. Today they have sent a 135-letter message. (a) Calculate the precise probability that the operator made a mistake on either 1 or 2 of the letters in this message. (b) Approximate the probability in (a) using the Poisson distribution. Do you think this approximation is a good one? Why?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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