137. Suppose a store sells two different coffee makers of a particular brand, a basic model selling...

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137. Suppose a store sells two different coffee makers of a particular brand, a basic model selling for $30 and a fancy one selling for $50. Let X be the number of people among the next 25 purchasing this brand who choose the fancy one. Then h(X) 

revenue  50X  30(25  X)  20X  750, a linear function. If the choices are independent and have the same probability, then how is X distributed?

Find the mean and standard deviation of h(X). Explain why the choices might not be independent with the same probability.

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