Mathematics, 07.05.2021 14:00 lmimms02

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 below:

f(x) = {

x, 0 < x < 1
8 − x, 1 ≤ x < 2
0, otherwise

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

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The density function of the continuous random variable x, the total number of hours, in units of 1...