Question

If ?~?(0,?2), ?~?(0,?2) and X and Y are independent. Then find the pdf of ? =...

If ?~?(0,?2), ?~?(0,?2) and X and Y are independent. Then find the pdf of ? = √?2 + ?2

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Where |J| is the Jacobian.

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 X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤...
Let X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤ y ≤ 1−x, 0 ≤ x ≤1. 1. Are X and Y independent? Explain with a picture. 2. Find the marginal pdf fX(x). 3. Find P( Y < 1/8 | X = 1/2 )
pdf of X is: ƒχ(x) = e⁻x, x>0, 0, otherwise Y = (X - 1)² find...
pdf of X is: ƒχ(x) = e⁻x, x>0, 0, otherwise Y = (X - 1)² find pdf of 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.
X and Y are independent and identically distributed variables uniform over [0,1]. Find PDF of A=Y/X
X and Y are independent and identically distributed variables uniform over [0,1]. Find PDF of A=Y/X
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 have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
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.
Consider the joint pdf f(x, y) = 3(x^2+ y)/11 for 0 ≤ x ≤ 2, 0...
Consider the joint pdf f(x, y) = 3(x^2+ y)/11 for 0 ≤ x ≤ 2, 0 ≤ y ≤ 1. (a) Calculate E(X), E(Y ), E(X^2), E(Y^2), E(XY ), Var(X), Var(Y ), Cov(X, Y ). (b) Find the best linear predictor of Y given X. (c) Plot the CEF and BLP as a function of X.
For independent X and Y, we have probability density function for them where pdf of X...
For independent X and Y, we have probability density function for them where pdf of X is f(x) = ne^-nx and pdf of Y is f(y) = me^-my. (x and y greater than 0). Let M1=max(X,Y) and M2=min(X,Y). Find cov(M2,M1).
For independent X and Y, we have probability density function for them where pdf of X...
For independent X and Y, we have probability density function for them where pdf of X is f(x) = ne^-nx and pdf of Y is f(y) = me^-my. (x and y greater than 0). Let M1=max(X,Y) and M2=min(X,Y). Find cov(M2,M1).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT