A manuscript is sent to a typing firm consisting of typists A,B, and C. If it is typed by A, thên 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. Find E (X) and Var (X),

A First Course in Probability (10th Edition)
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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. Find E (X) and
Var (X).
Transcribed Image Text: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. Find E (X) and Var (X).
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