3.139 In the daily production of a certain kind of rope, the number of defects per foot Y is assumed to have a Poisson distribution with mean À = 2. The profit per foot when the rope is sold is given by X, where X = 50 – 2Y – Y². Find the expected profit per foot.

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In the daily production of a certain kind of rope, the number of defects per foot Y is assumed
to have a Poisson distribution with mean À = 2. The profit per foot when the rope is sold is
given by X, where X = 50 – 2Y – Y². Find the expected profit per foot.
3.139
Transcribed Image Text:In the daily production of a certain kind of rope, the number of defects per foot Y is assumed to have a Poisson distribution with mean À = 2. The profit per foot when the rope is sold is given by X, where X = 50 – 2Y – Y². Find the expected profit per foot. 3.139
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