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Dynaco Manufacturing Company: Monte carlo simulation

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The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of machines that will break down in a week follows.

Machine Breakdowns Probability
per week

0 .10
1 .10
2 .20
3 .25
4 .30
5 .05
= 1.00

A. Simulate the machine breakdowns per week for 20 weeks.
B. Compute the average number of machines that will break down per week.

Please show the mathematical work for each problem.

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