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The total time measured in units of 100 hours that a teenager runs her hair...

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The total time measured in units of 100 hours that a teenager runs her hair dryer over a period of one year is a continuous random variable X that has the density unction below Use the theorem below to evaluate the mean of the random variable Y 51x 22X where Y is equal to the number of kilowatt hours expended annually X 0 x 1 f x 2 x 1 x 2 0 elsewhere Hy Simplify your answer Theorem The expected value of the sum or difference of two or more functions of a random variable X is the sum or differen of the expected values of the functions as given by the formula below E g X Y h X Y E g X Y E h X Y

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