Zubair is the manager of kitchen appliances at Boutique Department Store. He feels the inventory level of stoves has been running higher than necessary. Before revising the inventory policy, he records the number of stoves sold each day over a period of 25 days as summarized in Table 1: Table 1: Sale of stove Number of Day Stove Sold 2 4 3 7 4 8 5 6 5 1 a) Compute the probability (in four decimal places) of every stove sold. (5 marks) b) Derive the ranges of uniform random numbers based on the probabilities computed on (a). (5 marks) c) Calculate the daily sales expected value of stoves. (2 marks) d) Simulate the daily sales of stoves over six days using the random numbers: 0.4476, 0.9713, 0.0629, 0.7823, 0.5376, and 0.8165. (6 marks) e) Calculate the daily sales average of stoves. FORMULA Expected value of discrete random variable: = (X) = XP = Xipi =0 xiPi (2 marks)