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 unction shown below. Find the probability that over a period of one year, a family runs heir vacuum cleaner (a) less than 110 hours; (b) between 55 and 80 hours. f(x) 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 unction shown below. Find the probability that over a period of one year, a family runs heir vacuum cleaner (a) less than 110 hours; (b) between 55 and 80 hours. f(x) X, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 shown below. Find the probability that over a period of one year, a family runs
their vacuum cleaner (a) less than 110 hours; (b) between 55 and 80 hours.
f(x) =
X,
0<x< 1
2-x, 1<x<2
0,
elsewhere](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2Feed7a366-b181-456a-a6e0-7f6151877cbc%2Fpl7eu2e_processed.jpeg&w=3840&q=75)
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 110 hours; (b) between 55 and 80 hours.
f(x) =
X,
0<x< 1
2-x, 1<x<2
0,
elsewhere
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