# Poisson random variable

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A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then the number of errors made is a Poisson random variable with mean 2.6; if typed by B, then the number of errors is a Poisson random variable with mean 3; and if typed by C, then it is a Poisson random variable with mean 3.4. Let X denote the number of errors in the typed manuscript. Assume that each typist is equally likely to do the work.

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#### Solution Preview

E(A) = 2.6

E(B) = 3

E(C) = 3.4

P(A)=1/3 ( same for P(B), AND ...

#### Solution Summary

The solution works with the Poisson random variable problem.

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