Question

Suppose that  X and Y  have the following joint probability density function. f (x, y)  = ...

Suppose that  X and Y  have the following joint probability density function.

f (x, y)  = 
3
332
 y,    0  <  x  <  5,  y  >  0,  x − 4  <  y  <  x + 4
(a) Find E(XY).
(b) Find the covariance between X and 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
Suppose that the joint probability density function of the random variables X and Y is f(x,...
Suppose that the joint probability density function of the random variables X and Y is f(x, y) = 8 >< >: x + cy^2 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 0 otherwise. (a) Sketch the region of non-zero probability density and show that c = 3/ 2 . (b) Find P(X + Y < 1), P(X + Y = 1) and P(X + Y > 1). (c) Compute the marginal density function of X and Y...
Suppose that  X and Y  have the following joint probability density function. f (x, y)  = ...
Suppose that  X and Y  have the following joint probability density function. f (x, y)  =  3 /146 *x, 0  <  x  <  5,  y  >  0,  x − 2  <  y  <  x + 2 Find E(X).
Suppose that the random variables  X  and Y  have the following joint probability density function. f ...
Suppose that the random variables  X  and Y  have the following joint probability density function. f (x, y)  =  ce−5x − 7y,    0  <  y  <  x. (a) Find the value of c. (b) Find P(X  < 1/3  , Y  <  2)
Suppose that the random variables  X  and Y  have the following joint probability density function. f ...
Suppose that the random variables  X  and Y  have the following joint probability density function. f (x, y)  =  ce−9x − 7y,    0  <  y  <  x. (a) Find the value of c. (b) Find P(X  <1/6   , Y  <  1)
The joint probability density function of two random variables X and Y is f(x, y) =...
The joint probability density function of two random variables X and Y is f(x, y) = 4xy for 0 < x < 1, 0 < y < 1, and f(x, y) = 0 elsewhere. (i) Find the marginal densities of X and Y . (ii) Find the conditional density of X given Y = y. (iii) Are X and Y independent random variables? (iv) Find E[X], V (X) and covariance between X and Y .
1. Let (X; Y ) be a continuous random vector with joint probability density function fX;Y...
1. Let (X; Y ) be a continuous random vector with joint probability density function fX;Y (x, y) = k(x + y^2) if 0 < x < 1 and 0 < y < 1 0 otherwise. Find the following: I: The expectation of XY , E(XY ). J: The covariance of X and Y , Cov(X; Y ).
Suppose that X and Y have joint probability density function given by: f(x, y) = 2...
Suppose that X and Y have joint probability density function given by: f(x, y) = 2 for 0 ≤ x ≤ 1 and 0 ≤ y ≤ x. What is Cov(X, Y )?
Let X and Y have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩...
Let X and Y have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩ ke−y , if 0 ≤ x ≤ y < ∞, 0, otherwise. (a) (6pts) Find k so that f(x, y) is a valid joint p.d.f. (b) (6pts) Find the marginal p.d.f. fX(x) and fY (y). Are X and Y independent?
Suppose that the joint density function of X and Y  is given by f (x, y)  ...
Suppose that the joint density function of X and Y  is given by f (x, y)  =  45 xe−3x(y + 5)     x  >  0, y  >  0. (a) Find the conditional density of  X, given Y  =  y. (b) Find the conditional density of Y, given  X  =  x. (c) Find P(Y  >  5 | X  =  4).
7. Suppose that random variables X and Y have a joint density function given by: f(x,...
7. Suppose that random variables X and Y have a joint density function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1 (a) Find the density functions of X and Y, f(x) and f(y). (b) Find E[X] and Var(Y).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT