Solved: The total number of hours, measured in units of

Chapter 4, Problem 3.7

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QUESTION:

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, 0

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QUESTION:

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, 0

ANSWER:

Q:The total number of hours, measured in units of 100 hours, that a family runs a vacuumcleaner over a period of one year is a continuous random variable X that has the densityfunctionFind 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. Step By Step Solution:Step 1 of 2:(a) less than 120 hours;The probability that over a period of one year, the family runs the vacuum cleaner less than 120hours is :Converting 120 Hours into units by dividing it by 100 units: We get 1.2 units.Therefore, the probability that for a period of one year the family runs vacuum cleaner lessthan 120 hours is 0.68.

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