Calculating probability of stock

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Let X be the number of gallons of ice cream that is requested at a certain store on a hot summer day. Assume that f(x)= 12x(1000-x)^2/10^12, 0<x<1000, zero elsewhere, is the pdf of X. How many gallons of ice cream should the store have on hand each of these days, so that the probability of exhausting its supply on a particular day is 0.05?

Reference no: EM13103796

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