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Question: A Certain Typing Agency Employs Two Typists. The Average Number Of Errors Per Article Is 3 When Typed By The First Typist, And...A certain typing agency employs two typists. The average number of errors per article is 3 when typed by the first typist, and 4.2 when typed by the second.If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.Hint: Assume that the number of errors in an article by the first typist is approximated by a Pois(3) random variable, and assume that the number of errors in an article by the second typist is approximated by a Pois(4.2) random variable.

Answer 1

probability that it will have no errors in poisson distribution is 1/ 2 (e ^−3 + e ^−4.2 ).

Given the event Ti that the article is typed by the ith typist, the number of error follows a Poisson distribution with λi

where λ1 = 3 and λ2 = 4.2.

So P(no error) = P(no error| T1)P(T1) + P(no error| T2)P(T2)

= e^ −3 (3)0 / 0! × 1 /2 + e ^−4.2 (4.2)0 / 0! × 1 /2

= 1/ 2 (e ^−3 + e ^−4.2 ).

Learn more about the poisson distribution here:

brainly.com/question/17280826

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