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 105 hours; (b) between 65 and 100 hours. X, 0
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 105 hours; (b) between 65 and 100 hours. X, 0
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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
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 shown
below. Find the probability that over a
period of one year, a family runs their
vacuum cleaner (a) less than 105
hours; (b) between 65 and 100 hours.
X,
0<x<1
f(x) =
2-x, 1<x<2
0,
elsewhere
Question content area bottom
Part 1
(a) The probability the family runs the
vacuum cleaner less than 105 hours is
enter your response here.
(Type an integer or decimal rounded to
three decimal places as needed.)
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