Share
Explore BrainMass

Baye's Theorem - Solved Problem

A mail order company employs three stock clerks, A,B and C, who pull items from shelves and assemble them for subsequent verification and packaging. A makes a mistake in an order (gets an item wrong or the wrong quantity) one time in a hundred, B makes a mistake in an order five times in a hundred and C makes a mistake in an order three times in a hundred. If A, B and C fill respectively 30, 40 and 30 percent of all orders, what are the probabilities that

a) a mistake will be made in an order;
b) if a mistake is made in an order, it was filled by A;
c) if a mistake is made in an order, it was filled by B?

Attachments

Solution Summary

The problem based on Baye's Theorem is solved step by step and explanation is given in such a way that the student can use this solution as a model to solve other problems of the same type.

$2.19