SOLVED: 3. (10 points) Consider two random variables X and Y with joint probability density function f(x,y). Let the random variable S = X Y. By calculating the joint cumulative distribution function of X and S, F(x,s), show that the joint probability density function of X and S is given by:f(x,s) = f(x,s - 1)Treating the problem instead as a transformation from variables (X = X,Xz = Y) to (Y = X,Yz = S), calculate the joint probability density function of X and S. Your results should agree with
SOLVED: 3. (10 points) Consider two random variables X and Y wit…
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