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, 0x that has the density
function
x
(a) (6 points) What is the CDF of X?
(b) (4 points) What is the probability that a family runs their vacuum cleaner less than 120 hours?
1. (10 points) 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 0<x<1 fx= 1x<2 otherwise (a)(6 points) What is the CDF of X?
(b) (4 points) What is the probability that a family runs their vacuum cleaner less than 120 hours?