The article "The Uniform Distribution as a First Practical Approach to New Product Inventory Management" [International Journal of Production Economics, 2008, 114(2)] proposed a uniform distribution to model the demand of a new product before observing the actual distribution. You will model demand forecasts with a discrete uniform distribution. According to your estimates, the minimum and the maximum levels of new product demand are 5 and 30 units per day, respectively. (a) Determine the mean and variance of new product demand. Mean = Variance = (b) Determine the probability mass function of new product demand. Enter the answer as a fraction. Divide the numerator and denominator by "/". f(x) = (c) How do the mean and the variance of new product demand change, if you revise your estimate of maximum demand to be 25 instead of 30? Round your answers to two decimal places (e.g. 98.76).

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