Please answer all parts of the question. Thank you
Please answer all parts of the question. Thank you [1] The joint probability density function of...
[1] The joint probability density function of two continuous random variables X and Y is fxy(x, y) = {0. sc, 0 <y s 2.y < x < 4-y = otherwise Find the value of c and the correlation of X and Y.
Please Only Do Question 2 [1] The joint probability density function of two continuous random variables X and Y is fxxx(x,y) = {S. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y. [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<1.
Please answer question 2. Thank you [1] The joint probability density function of two continuous random variables X and Y is fxx(x, y) = {6. c, Osy s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y. [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<l.
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x, y) = {6. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
The joint probability density function of two continuous random variables X and Y is Find the value of c and the correlation of X and Y. Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<1. fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Please also explain 5. Following is the joint probability density function for the random variables X and Y. f(x,y) = U 2, 0 < x <1, 0 Sy < 1, 0 < x + y 51 elsewhere. 10, Find E(X +Y) and Var(X +Y).
Consider random variables X and Y with joint probability density function (Pura s (xy+1) if 0 < x < 2,0 <y S4, fx.x(x, y) = otherwise. These random variables X and Y are used in parts a and b of this problem. a. (8 points) Compute the marginal probability density function (PDF) fx of the random variable X. Make sure to fully specify this function. Explain.
24. Let X and Y be continuous random variables with joint density function 4xy for 0 < x, y 1 f(x, y) otherwise. What is the probability of the event X given that Y ?
Thank you! Q8 Consider two independent continuous random variables X and Y with probability density function given as follows: fx(x) 1/10, 0<x< 10 0 otherwise 0y 10 fro-6/10, (y) = Enter all answers as a fraction (e.g. 4/5) or integer. a. Create the joint pdf from the marginals: <<y<0 otherwise. Submit Answer Tries 0/15 b, Find E(X 1 Y 2) Submit Answer Tries 0/5 C. Find E(Y 1 X = 2) Submit Answer Tries 0/5 d. Find Cov(X, Y) Submit...
Suppose X and Y are continuous random variables with joint density function 1 + xy 9 fx,y(2, y) = 4 [2] < 1, [y] < 1 otherwise 0, (1) (4 pts) Find the marginal density function for X and Y separately. (2) (2 pts) Are X and Y independent? Verify your answer. (3) (9 pts) Are X2 and Y2 independent? Verify your answer.