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4. Doughnut Dollies is moving to West Midtown and needs to decide how many of their apple fritters to make each day. They have decided to estimate the daily demand for apple fritters using a random variable with a distribution based on their sales in Marietta given by: Table 1: Distribution of Daily Demand of Apple Fritters Number of Apple Fritters sold in one day 0 10 15 20 25 30 35 40 Probability 0.01 0.04 0.05 0.10 0.15 0.20 0.20 0.15 0.10 It costs Doughnut Dollies $0.25 to make an apple fritter, and they sell them at $3.25/apple fritter. Any apple fritters that are left at the end of the day are sold to the Salvation Army kitchen for $0.10 each (a) How many apple fritters should Doughnut Dollies make each day? (b) Now suppose that you were to approximate the discrete distribution with a Normal distri- bution instead, would you expect the answer you found in part (a) to be close to the new solution? Why or why not? (c) Using the approximated Normal distribution, how many apple fritters should Doughnut Dollies make each day? Was your assumption in part (b) correct? If not, give a brief explanation of where your previous logic was incorrect

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