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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 145 hours; (b) between 70 and 95 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 145 hours; (b) between 70 and 95 hours. X, 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 145 hours; (b) between 70 and 95 hours. X, 0<x<1 f(x) = { 2-x, 1sx<2 0, elsewhere (a) The probability the family runs the vacuum cleaner less than 145 hours is (Type an integer or decimal rounded to three decimal places as needed.) (b) The probability the family runs the vacuum cleaner between 70 and 95 hours is (Type an integer or decimal rounded to three decimal places as needed.)
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 145 hours; (b) between 70 and 95 hours. X, 0<x<1 f(x) = { 2-x, 1sx<2 0, elsewhere (a) The probability the family runs the vacuum cleaner less than 145 hours is (Type an integer or decimal rounded to three decimal places as needed.) (b) The probability the family runs the vacuum cleaner between 70 and 95 hours is (Type an integer or decimal rounded to three decimal places as needed.)
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