# Question: A quality inspector picks a sample of 15 items at

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?

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?

## Relevant Questions

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 one-month ...The possible annual percentage returns of the stocks of Alpha, Inc. and Beta, Inc. are distributed as shown in the file S04_24.xlsx.a. What is the expected annual return of Alpha’s stock?What is the expected annual return ...Suppose that the manufacturer of a particular product assesses the joint distribution of price P per unit and demand D for its product in the coming quarter as provided in the file S04_31.xlsx.a. Find the expected price and ...You know that in one year you are going to buy a house. The annual interest rate for fixed-rate 30-year mortgages is currently 6.00%, and the price of the type of house you are considering is $120,000. However, things may ...An investor puts $10,000 into each of four stocks, labeled A, B, C, and D. The file S04_48.xlsx contains the means and standard deviations of the annual returns of these four stocks. Assuming that the returns of these four ...Post your question