Question: 4.13 The density function of the continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a

4.13 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 3.7 on page 112 as f(x) =

⎧⎨

x, 0 < x < 1, 2 − x, 1 ≤ x < 2, 0, elsewhere.

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

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