Question

Let X & Y be two continuous random variables with joint pdf: fXY(X,Y) = { 2...

Let X & Y be two continuous random variables with joint pdf:
fXY(X,Y) = { 2 x+y =< 1, x >0, y>0
{ 0 otherwise
find Cov(X,Y) and ρX,Y
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let continuous random variables X, Y be jointly continuous, with the following joint distribution fXY​(x,y) =...
Let continuous random variables X, Y be jointly continuous, with the following joint distribution fXY​(x,y) = e-x-y ​for x≥0, y≥0 and fXY(x,y) = 0 otherwise​. 1) Sketch the area where fXY​(x,y) is non-zero on x-y plane. 2) Compute the conditional PDF of Y given X=x for each nonnegative x. 3) Use the results above to compute E(Y∣X=x) for each nonnegative x. 4) Use total expectation formula E(E(Y∣X))=E(Y) to find expected value of Y.
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can...
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can be any value fxy(x,y)=0 otherwise (1) Determine fY|X(y|x) (2)Determine E[Y|X=x]
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0...
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0 < 4x < y < 12 and 0 otherwise Find Cov (X,Y).
Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0...
Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0 < x < < y < 1 and 0 otherwise. Find the marginal pdf of T if S=X and T = XY. Use the joint pdf of S = X and T = XY.
Assume two random variables X and Y satisfy the following joint PDF, fXY (x, y) =...
Assume two random variables X and Y satisfy the following joint PDF, fXY (x, y) = { 2, x + y ≤ 1 x, y ≥ 0, 0, otherwise.} (a) Find the values of E[X + Y ] and E[X − Y ]. (b) Derive g(s) = E[X − Y |X + Y = s] for any given s. (c) Derive h(t) = E[X + Y |X − Y = t] for any given t.
Suppose that X and Y are two jointly continuous random variables with joint PDF ??,(?, ?)...
Suppose that X and Y are two jointly continuous random variables with joint PDF ??,(?, ?) = ??                     ??? 0 ≤ ? ≤ 1 ??? 0 ≤ ? ≤ √?                     0                        ??ℎ?????? Compute and plot ??(?) and ??(?) Are X and Y independent? Compute and plot ??(?) and ???(?) Compute E(X), Var(X), E(Y), Var(Y), Cov(X,Y), and Cor.(X,Y)
19. Let X and Y be continuous random variables with joint pdf: f(x, y) = x−y...
19. Let X and Y be continuous random variables with joint pdf: f(x, y) = x−y for 0 ≤ y ≤ 1 and 1 ≤ x ≤ 2. If U = XY and V = X/Y , calculate the joint pdf of U and V , fUV (u, v).
Suppose X and Y are continuous random variables with joint pdf f(x,y) = x + y,...
Suppose X and Y are continuous random variables with joint pdf f(x,y) = x + y, 0 < x< 1, 0 < y< 1. Let W = max(X,Y). Find EW.
Let X and Y be two random variables having the joint probability density fxy= 24xy for...
Let X and Y be two random variables having the joint probability density fxy= 24xy for 0<x<1, 0<y<1, 0<x+y<1, o elsewhere. Find the joint probability density of Z = X + Y, and W = 2Y
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = （1/2）xy...
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = （1/2）xy for 0 < x < 2 and x < y < 2 (a) Find P(Y < 2X) by integrating in the x direction first. Be careful setting up your limits of integration. (b) Find P(Y < 2X) by integrating in the y direction first. Be extra careful setting up your limits of integration. (c) Find the conditional pdf of X given Y = y,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT