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  ? = 4.  The profit per foot when the rope is sold is given by X, where  X = 70 − 3Y − Y2.  Find the expected profit per foot.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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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 distribution with mean 
? = 4.
 The profit per foot when the rope is sold is given by X, where 
X = 70 − 3Y − Y2.
 Find the expected profit per foot.
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