In a post office, three clerks were assigned to process incoming mail. The first clerk, c;, processes 40%, the second clerk, C2 , processes 35% and the third clerk, C3 , processes 25% of the mail. The first clerk has an error rate of 0·04, the second clerk has an error rate of 0·06 and the third clerk has an error rate of 0·03. A mail selected at random from a day's output is found to have an error. The Postmaster wishes to know the probability that the mail was processed by the first, second or third clerk respectively. Find the probabilities. ·

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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 In a post office, three clerks were assigned to process incoming mail. The first
clerk, c;, processes 40%, the second clerk, C2 , processes 35% and the third clerk, C3 , processes
25% of the mail. The first clerk has an error rate of 0·04, the second clerk has an error rate of
0·06 and the third clerk has an error rate of 0·03. A mail selected at random from a day's output
is found to have an error. The Postmaster wishes to know the probability that the mail was
processed by the first, second or third clerk respectively. Find the probabilities. · 

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