The probability density functions of two independent random variables X and Y are given by, Where a, b are positive real constants and u(•) represents the unit step function. The probability density functibn of the random variable Z = X + Y will be fx(x)=ae−axu(x)andfy(y)=be−byu(y)

The probability density functions of two independent random variables

1.	The probability density functions of two independent random variables X and Y are given by, Where a, b are positive real constants and u(•) represents the unit step function. The probability density functibn of the random variable Z = X + Y will be fx(x)=ae−axu(x)andfy(y)=be−byu(y)
Answer» The probability density functions of two independent random variables X and Y are given by, Where a, b are positive real constants and u(•) represents the unit step function. The probability density functibn of the random variable Z = X + Y will be $f_{x} (x) = a e^{- a x} u (x) a n d f_{y} (y) = b e^{- b y} u (y)$