A quality inspector picks a sample of 15 items at random from a manufacturingprocess known to produce 10% defective items. Let X be the number of defective items found in the random sample of 15 items. Assume that the condition of each item is independent of that of each of the other items in the sample. The probability distribution of X is provided in the excel file. Use simulation to generate 500 values of this random variable X. A) Calculate the mean and standard deviation of the simulated values. B) How do they compare to the mean and standard deviation of the given probability distribution?  Use excel to help please Number of defective items in a random sample of 15 items           # of defectives Probability       0 0.2059       1 0.3432       2 0.2669       3 0.1285       4 0.0428       5 0.0105       6 0.0019       7 0.0003       8 0.0000       9 0.0000       10 0.0000       11 0.0000       12 0.0000       13 0.0000       14 0.0000       15 0.0000

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A quality inspector picks a sample of 15 items at random from a manufacturingprocess known to produce 10% defective items. Let X be the number of defective items found in the random sample of 15 items. Assume that the condition of each item is independent of that of each of the other items in the sample. The probability distribution of X is provided in the excel file. Use simulation to generate 500 values of this random variable X.
A) Calculate the mean and standard deviation of the simulated values.
B) How do they compare to the mean and standard deviation of the given probability distribution? 

Use excel to help please

Number of defective items in a random sample of 15 items
         
# of defectives Probability      
0 0.2059      
1 0.3432      
2 0.2669      
3 0.1285      
4 0.0428      
5 0.0105      
6 0.0019      
7 0.0003      
8 0.0000      
9 0.0000      
10 0.0000      
11 0.0000      
12 0.0000      
13 0.0000      
14 0.0000      
15 0.0000      
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