(0.657 x y fxy (x, y) = %3D otherwise

Let X and Y be independent Exponential (A) random variables. Let M = min{X, Y) min{X, Y} and U = max{X, Y}. 1. Compute the distribution function and probability density of M. 2. Compute the distribution function and probability density of U. 3. Compute the joint distribution function F(M,U) (x, y) of M and U, and thus deduce the joint density fM,U(x, y).

Let Y denote a random variable with the following density function. 1 f (y) = { In(2)(+1) if 0

Let X,Y be discrete random variables with joint mass function P(X=i, Y=j)=p(i,j) for i∈IM(X), j∈IM(Y). Which statement is true? Select one: a. FX,Y(x,y)=∑i≤x,j≤yp(i,j) b. FX,Y(x,y)=∑x≤i,j≤yp(i,j) c. FX,Y(x,y)=∑i<x,j<yp(i,j) d. FX,Y(x,y)=∑x<i,,j<yp(i,j)