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# Frequency Distributions

You are the production manager for an operation that produces circuit boards. Each board is tested at the end of the manufacturing process. Rejected boards are discarded and have no future value. For product B-17, you have kept data on the number of rejects for the past 38 weeks. These data are:

Number of rejected boards.

Week Rejects
1 7
2 8
3 10
4 9
5 11
6 10
7 10
8 6
9 7
10 13
11 11
12 7
13 9
14 10
15 12
16 10
17 7
18 6
19 8
20 9
21 9
22 8
23 9
24 7
25 9
26 8
27 11
28 10
29 10
30 12
31 9
32 10
33 8
34 8
35 8
36 7
37 10
38 9
Prepare a frequency distribution chart.

What is the Standard Deviation?

What is the approximate probability that at least 7 rejected boards will be produced next week?

Be sure to clearly show how you arrived at your conclusion.

To get you started with a frequency distribution table:

Number of Boards Rejected in a Week Frequency
6 2
7 6
8 7
You will have to complete the rest of the table yourself to answer the assignment questions.

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.

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