1) A personnel manager of a large manufacturing plant is investigating the number of reported on-the-job...
1) A personnel manager of a large manufacturing plant is investigating the number of reported on-the-job accidents at the facility over the past several years. Let X be the number of such accidents reported during a 1 month period. Based on past records, the manager has established the probability distribution for X as shown in the data below.
| Reported on-the-job accidents | ||
| Number reported | Probability | |
| 0 | 0.50 | |
| 1 | 0.25 | |
| 2 | 0.10 | |
| 3 | 0.05 | |
| 4 | 0.05 | |
| 5 | 0.02 | |
| 6 | 0.01 | |
| 7 | 0.01 | |
| 8 | 0.01 | |
| >=9 | 0.00 | |
A. Generate 400 values of this random variable X with the given probability distribution using simulation.
B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not.
Homework Answers
Solution : 
py is empirical probability distribution based on random sample of
size 400 that we have generated from given probability distribution
of X .
We can observed that Py and Px are nearly same .
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