Question

Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with...

Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with 0 < y <1 – abs(x). Show that Cov(X, Y ) = 0 even though X and Y are dependent. Note: For this

problem, you only need to show that the covariance is zero. You need not show that X and Y are dependent.

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
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with...
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with 0 < y < 1 − |x|. Show that Cov(X, Y ) = 0 even though X and Y are dependent. Note: For this problem, you only need to show that the covariance is zero. You need not show that X and Y are dependent.
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 & 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
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) = 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.
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)
X and Y are jointly continuous with joint pdf f(x, y) = 2, x > 0,...
X and Y are jointly continuous with joint pdf f(x, y) = 2, x > 0, y > 0, x + y ≤ 1 and 0 otherwise. a) Find marginal pdf’s of X and of Y. b) Find covariance Cov(X,Y). c) Find correlation Corr(X,Y). What you can say about the relationship between X and Y?
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).
The continuous random variables X and Y have joint pdf f(x, y) = cy2 + xy/3   0...
The continuous random variables X and Y have joint pdf f(x, y) = cy2 + xy/3   0 ≤ x ≤ 2, 0 ≤ y ≤ 1 (a) What is the value of c that makes this a proper pdf? (b) Find the marginal distribution of X. (c) (4 points) Find the marginal distribution of Y . (d) (3 points) Are X and Y independent? Show your work to support your answer.
Suppose X and Y are continuous random variables with joint density function f(x,y) = x +...
Suppose X and Y are continuous random variables with joint density function f(x,y) = x + y for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. (a). Compute the joint CDF F(x,y). (b). Compute the marginal density for X and Y . (c). Compute Cov(X,Y ). Are X and Y independent?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT