(Solved): A production ficility contains two machines that are used to rework items that are initially defect ...
A production ficility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given by: f(x)={23(x2+y2),0 otherwise 0<x<1 and 0<y<1 Given fx(x)=23(x2+31) and fy(y)=23(y2+31):
To find ^2(x) and ^2(y), we need to calculate the variances of X and Y respectively. The variance is defined as the square of the standard deviation.So our target will to calculate variances of X and Y respectively