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[1] The joint probability density function of two continuous random variables X and Y is fx,x(x,...
[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.
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 answer all parts of the question. Thank you [1] The joint probability density function of two continuous random variables X and Y is fx,x(x,y) = {6. sc, 0 Sy s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
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 fxy(x,y) Şc, Osy s 2.y 5 x 54-y fo, otherwise Find the value of c and the correlation of X and 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...
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
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.
The continuous random variables, X and Y , have the following joint probability density function: f(x,y) = 1/6(y2 + x3), −1 ≤ x ≤ 1, −2 ≤ y ≤ 1, and zero otherwise. (a) Find the marginal distributions of X and Y. (b) Find the marginal means and variances. (c) Find the correlation of X and Y. (d) Are the two variables independent? Justify.