Scorekeeper, Inc., manufactures stadium scoreboards

Scorekeeper, Inc., manufactures stadium scoreboards. Table 1 illustrates the demand  for Scorekeeper’s scoreboards over the past 25 days. The mean of daily demand in 6 units.
a. Is the demand distribution normal? How do you know?
b. Calculate the standard deviation for daily demand. Assume in this case that the performancecycle is constant.

Table 2 summarizes Scorekeeper’s performance cycles over the past 40 replenishment. Theexpected cycle duration is 12 days.
c. Is the performance cycle distribution normal? How do you know?
d. Calculate the standard deviation for the performance cycle.
e. Given you answers to parts (b) ad (d), find the safety stock required at 1 combined standarddeviation under conditions of demand and performance cycle uncertainties.
f. If the typical order quantity is 36 units, find the average inventory at 3 standard deviationsunder demand and performance uncertainty.
g. Scorekeeper is striving for a 99 percent product availability level. Given the above informationas well as your answer to part (e), find the function value of the normal loss curve, f(k).
h. Use Table 7.14 to find the value for k, given your answer to part (g), and calculate the requiredsafety stock for the desired 99 percent availability level.
i. What would be the required safety stock for 99 percent availability should the order quantitychange to 30 units?