Question: Consider three different machines that process single panel in a circuit-board plant. The three machines work in parallel and they are independent. The base process

Consider three different machines that process single panel in a circuit-board plant. The three machines work in parallel and they are independent. The base process time for Machine 1 is 10 minutes with a standard deviation of 2 minutes. The base process time for Machine 2 is 6 minutes with a standard deviation of 5 minutes. The base process time for Machine 3 is 5 minutes with a standard deviation of 6 minutes. Data was collected for the process times (in minutes) of three machines as given in the table below.

Machine 1 Machine 2 Machine 3
22 5 5
25 6 6
23 5 5
26 35 35
24 7 7
28 45 45
21 6 6
30 6 6
24 5 5
28 4 4
27 7 7
25 50 500
24 6 6
23 6 6
22 5 5

1. Calculate te, Se (or e) and Ce.

2. What is the variability class for each machine?

3. If the times remain independent, what will be the availability and effective rates of the three machines if the machines process jobs that consist of 10 panels instead of single panels.

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