For questions 1-4, suppose that each retail store observes a random demand that is normally distributed with mean 200 units per week with a standard deviation of 65 units. 1

The in-stock probability for the retail stores and the distribution center is 99.5% (Use this in-stock probability for all questions). For questions 1 and 2, assume that retail store demands are independent. For questions 3-4, suppose that the demands at the retail stores are correlated