Solved: A manufacturing company has developed a machine

Chapter 5, Problem 4.72

(choose chapter or problem)

A manufacturing company has developed a machine for cleaning carpet that is fuel-ecient because it delivers carpet cleaner so rapidly. Of interest is a random variable Y , the amount in gallons per minute delivered. It is known that the density function is given by f(y)=1, 7 y 8, 0, elsewhere. (a) Sketch the density function. (b) Give E(Y ), E(Y 2), and Var(Y ).

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