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

Use Theorem 2.6 to evaluate the mean of the random variable Y = 60X² + 39X, where Y is equal to the number of kilowatt hours expended annually.

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0 < x < 1, {2 – , 1