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In the daily production of a certain kind of rope, the number of defects per foot given by Y is assumed to have a Poisson

In the daily production of a certain kind of rope, the number of defects per foot given by Y is assumed to have a Poisson distribution with mean

= 3.

The profit per foot when the rope is sold is given by X, where

X = 60 3Y Y2.

Find the expected profit per foot.

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