The totaltime, measured in units of 100hours, 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=61X2+33X, where Y is equal to the number of kilowatt hours expended annually.

-r.-r.uu uucauull . my v . 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 = 61X2 + 33X, where Y is equal to the number of kilowatt hours expended annually. Theorem: The expected value of the sum or difference of two or more functions of a random variable X is the sum or difference of the expected values of x, 0