Solved: The number of contaminating particles on a silicon

Chapter 1, Problem 19E

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QUESTION:

Problem 19E

The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a sample of size 100, resulting in the following frequencies:

a. What proportion of the sampled wafers had at least one particle? At least five particles?

b. What proportion of the sampled wafers had between five and ten particles, inclusive? Strictly between five and ten particles?

c. Draw a histogram using relative frequency on the vertical axis. How would you describe the shape of the histogram?

Questions & Answers

QUESTION:

Problem 19E

The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a sample of size 100, resulting in the following frequencies:

a. What proportion of the sampled wafers had at least one particle? At least five particles?

b. What proportion of the sampled wafers had between five and ten particles, inclusive? Strictly between five and ten particles?

c. Draw a histogram using relative frequency on the vertical axis. How would you describe the shape of the histogram?

ANSWER:

Solution

Step 1 of 4

Given that the no.of particles on a silicon wafer

And each wafer a sample of 100 each

No. of particles

Frequency

Relative frequency

0

1

0.01

1

2

0.02

2

3

0.03

3

12

0.12

4

11

0.11

5

15

0.15

6

18

0.18

7

10

0.1

8

12

0.12

9

4

0.04

10

5

0.05

11

3

0.03

12

1

0.01

13

2

0.02

14

1

0.01


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