Example 8.29 A manufacturing firm receives shipments of machine parts from two suppliers A and B. Currently, 65 per cent of parts are purchased from supplier A and the remaining from supplier B. The past record shows that 2 per cent of the parts supplied by A are found defective, whereas 5 per cent of the parts supplied by B are found defective. On a particular day the machine breaks down because a defective part is fitted to it. Given the information that the part was bad, using Bayes' theorem find the probability that it was supplied by supplier B.

Example 8.29 A manufacturing firm receives shipments of machine parts from two suppliers A and B. Currently, 65 per cent of parts are purchased from supplier A and the remaining from supplier B. The past record shows that 2 per cent of the parts supplied by A are found defective, whereas 5 per cent of the parts supplied by B are found defective. On a particular day the machine breaks down because a defective part is fitted to it. Given the information that the part was bad, using Bayes' theorem find the probability that it was supplied by supplier B.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

See similar textbooks