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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

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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 function below. Use the theorem below to evaluate the mean of the random variable Y = 54X2 + 33X, where Y is equal to the number of kilowatt hours expended annually. X , 0

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