The total number of​ hours, measured in units of 100​ hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function shown below. Find the probability that over a period of one​ year, a family runs their vacuum cleaner​ (a) less than 120 ​hours; (b) between 55 and 85 hours. ​f(x) = x, 0

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