Example 4-1. Suppose that a product is produced in three factories X, Y and Z. It is known that factory X produces thrice as many items as factory Y, and that factories Y and Z produce the same number of items: Assume that it is known that 3 per cent of the items produced by each of the factories X and Z are defective while 5 per cent of those nanufactured by factory Y are defective. All the itenis produced in the three factories are stocked, and an item of product is selected at randoni. (i) What is the probability that this item is defective ? (ii) If an item selected at randonı is found to be defective, what is the probability that it was produced by factory X, Y and Z respectively ?

Example 4-1. Suppose that a product is produced in three factories X, Y and Z. It is known that factory X produces thrice as many items as factory Y, and that factories Y and Z produce the same number of items: Assume that it is known that 3 per cent of the items produced by each of the factories X and Z are defective while 5 per cent of those nanufactured by factory Y are defective. All the itenis produced in the three factories are stocked, and an item of product is selected at randoni. (i) What is the probability that this item is defective ? (ii) If an item selected at randonı is found to be defective, what is the probability that it was produced by factory X, Y and Z respectively ?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...

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