Disks of polycarbonate plastic from a

Chapter 2, Problem 146E

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QUESTION:

Problem 146E

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

Shock

Resistance

High

Low

Scratch

High

70

9

Resistance

Low

16

5

Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Are events A and B independent?

Questions & Answers

QUESTION:

Problem 146E

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

Shock

Resistance

High

Low

Scratch

High

70

9

Resistance

Low

16

5

Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Are events A and B independent?

ANSWER:

Solution:

Step 1 of 2:

We have the results of 100 disks.

                                                           Shock Resistance                                     

High

Low

Total

Scratch

High

70

9

79

Resistance

Low

16

5

21

Total

86

14

100

Let, A = disk has high shock resistance.

       B = disk has scratch shock resistance.

The claim is to check that the events A and B are independent.


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