# 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?

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#### Solution Preview

See the attachment please. Hope it helps.

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<1000, zero elsewhere, is the pdf of X. How many gallons of ice cream should ...

#### Solution Summary

This solution is provided in 167 words in an attached .doc file. It uses quadratic equations to solve the problem.

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