Question: Operations and production managers often use the normal distribution as a probability model to forecast demand in order to determine inventory levels, manage the supply

Operations and production managers often use the normal distribution as a probability model to forecast demand in order to determine inventory levels, manage the supply chain, control production and service processes, and perform quality assurance checks on products and services. The information gained from such statistical analyses help managers optimize resource allocation and reduce process time, which in turn often improves profit margins and customer satisfaction. Examine the chart below. Process A standard deviation is .9, Process B standard deviation is 1.4, and the mean of both processes is 12. Employing the Normal Distribution O45 O45 4 Process A a4 4 0.35 4 oa uw 1 0.25 4 Probability Density ao ina 4 tn L f=) L Process B 0.05 + o T T T T T 1 6 8 10 12 14 16 18 Product 1. Do either of the processes fit a normal distribution? Why or why not? 2. Which of the processes shows more variation? What does this mean practically? 3. If the product specification quality limits were 12 +/- 3, which of the processes more often meets specification? Explain why

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