Question: The density function of the continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum

The density function of the continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year, is given in Exercise 2.7 

0 < x < 1, f(x) = {2 – x, 1<x< 2, 2, elsewhere. 0,


Find the average number of hours per year that families run their vacuum cleaners.

0 < x < 1, f(x) = {2 x, 1

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