Consider an operational process in a factory where widgets are produced. As the process is not perfect, errors sometimes happen, and the errors are either technical or human. Over the last 100 days, errors were observed and recorded. On any given day, there occurred zero to three (0 to 3) human errors and zero to three (0 to 3) technical errors. The frequency distribution of errors is given in the following contingency table. Number of human errors No. of Tech Errors   0 1 2 3 Total 0 8 6 4 4 22 1 5 8 9 10 32 2 4 5 10 8 27 3 0 3 4 12 19 Total 17 22 27 34 100   What is the probability of 0 human errors given 3 technical errors?

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Consider an operational process in a factory where widgets are produced. As the process is not perfect, errors sometimes happen, and the errors are either technical or human. Over the last 100 days, errors were observed and recorded. On any given day, there occurred zero to three (0 to 3) human errors and zero to three (0 to 3) technical errors. The frequency distribution of errors is given in the following contingency table.

Number of human errors

No. of Tech Errors

 

0

1

2

3

Total

0

8

6

4

4

22

1

5

8

9

10

32

2

4

5

10

8

27

3

0

3

4

12

19

Total

17

22

27

34

100

 

What is the probability of 0 human errors given 3 technical errors?

 

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