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 f(x) = = 2 x, - 0, ·x, 0 < x < 1, 1 ≤ x ≤ 2, elsewhere. 1. Find the cumulative distribution function F(x) and

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