2. If X and Y are continuous random variables having joint density function if 0 < y < 1 and 0 < x < y otherwise f(x, y) = = {x²² / 0, y-¹ Find E[X], E[Y], and COV(X, Y).

Q: Continuous random variables X and Y have joint density function f(x, y) = 0 ≤ y ≤ 1. Calculate E[X]…

A: f(x,y)=127×(x2+xy); 0≤x≤1, 0≤y≤1

Q: (a) fxy(x, y) = (b) fyx (x, y) =

A:

Q: et (X, Y)' be a random vector with the following density function: (8xy ifosasysl elsewhere ind the…

A: Let X and Y have joint density function

Q: Let the joint probability density function of (X, Y) be given by 1 f(x, y) = 10x' Find Cov(X, Y) and…

A: The covariance between two random variables X and Y is defined as:Cov(X,Y)=E(XY)−E(X)E(Y)And the…

Q: 9. If X, Y have some bivariate density, prove that Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).

A: We have given that X and Y are random variables having some bivariate density.

Q: Let X,Y be continuous random variables with joint density function if 0 < x < 1,x < y < 1 f (x, y) =…

A:

Q: X and Y are discrete random variables with a joint density function as follow f(x, y) = 1) = {²+ (…

A:

Q: Let X and Y be random variables with joint density f(x, y) = (x - y) if x = [0, 1], y € [-1, 0]…

A: The conditional probability is defined as :   P(X|Y) = P(X,Y=y)P(Y=y)

Q: (b) The expression for the joint probability density function of the transformed random variables U…

A: X and Y are independent uniformly distributed random variables over the interval (0,1).…

Q: Let f(x, y) = where C is a constant. (x² + 1)(y² + 1)’ Suppose that X and Y are random variables…

A:

Q: 2. The random variables X and Y have joint density p(x, y) = = {cry Jcry(1-x) if 0<x< 1, 0<y<1,…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 2. The continuous random variables x and y have known joint probability density function f(x,y)…

A: As per the guidelines of the Bartleby, solution of only first 3 parts are given.