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: f(x) {2 = x 2- 0 0

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. 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:
f(x) =
x
2-x
0
0 < x < 1
1<x<2
elsewhere
Find the probability that over a period of one year, a family runs their vacuum cleaner (a) less than 120
hours; (b) between 50 and 100 hours.
Transcribed Image Text:. 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: f(x) = x 2-x 0 0 < x < 1 1<x<2 elsewhere Find the probability that over a period of one year, a family runs their vacuum cleaner (a) less than 120 hours; (b) between 50 and 100 hours.
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