A quality inspector picks a sample of 15 items at random from a manufacturing process 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 file S04 18 xlsx a Use simulation to generate 500 values of this random variable X b Calculate the mean and standard deviation of the simulated values How do they compare to the mean and standard deviation of the given probability distribution

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Question: A quality inspector picks a sample of 15 items at random from a manufacturing process known to produce 10% defective items. Let X be the

A quality inspector picks a sample of 15 items at random from a manufacturing process 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 of X is provided in the file S04_18.xlsx.
a. Use simulation to generate 500 values of this random variable X.
b. Calculate the mean and standard deviation of the simulated values. How do they compare to the mean and standard deviation of the given probability

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