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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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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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