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The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that
The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows:
a. Simulate the machine breakdowns per week for 20 weeks.
b. Compute the average number of machines that will break down per week.
Dynaco Manufacturing | ||
Probability breakdown per week | ||
P(x) | Cumulative | Breakdown |
0.1 | 0.1 | 0 |
0.2 | 0.3 | 1 |
0.15 | 0.45 | 2 |
0.3 | 0.75 | 3 |
0.15 | 0.9 | 4 |
0.1 | 1 | 5 |
1 |
Simulated avg. breakdown | 48/20 | |
Average breakdowns = | 2.4 |
Simulation | ||
Week | RN | Breakdowns |
1 | 3 | |
2 | 4 | |
3 | 2 | |
4 | 1 | |
5 | 2 | |
6 | 1 | |
7 | 2 | |
8 | 4 | |
9 | 0 | |
10 | 3 | |
11 | 3 | |
12 | 5 | |
13 | 1 | |
14 | 0 | |
15 | 4 | |
16 | 4 | |
17 | 2 | |
18 | 5 | |
19 | 0 | |
20 | 2 |
Machine Breakdowns Probability Per Week 0.10 1 0.20 2 0.15 3 0.30 4 0.15 5 0.10 1.00
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