The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X. f(x) = (3) 9 (x-4), 4

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The total number of hours, in units of 100 hours,
that a family runs a vacuum cleaner over a period of
one year is a random variable X having the density
function shown to the right. Find the variance of X.
f(x) =
(G)
The variance is (Round to three decimal places as needed.)
2 1
3 9
(x-4), 4<x<7,
-
(x-4), 7≤x<10,
0,
elsewhere
Transcribed Image Text:The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X. f(x) = (G) The variance is (Round to three decimal places as needed.) 2 1 3 9 (x-4), 4<x<7, - (x-4), 7≤x<10, 0, elsewhere
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