Question

The random variables X and Y have a joint p.d.f. given by f(x,y) = (3(x +y...

The random variables X and Y have a joint p.d.f. given by f(x,y) = (3(x +y −xy))/7 for 0 ≤ x ≤ 1 and
0 ≤ y ≤ 2. Find the following.
(a) E[X], E[Y ]
(b) Cov[X,Y]

Homework Answers

Answer #1

If there is any understanding problem regarding this please feel free to ask any doubt in comment box. Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X and Y are two continuous random variables. It's joint p.d.f is given as: f(x,y)...
Let X and Y are two continuous random variables. It's joint p.d.f is given as: f(x,y) = 2 , 0 < x < y < 1 = 0, otherwise Calculate P(x+y >1)
The random variables X and Y have a joint density function given by f(x, y) =...
The random variables X and Y have a joint density function given by f(x, y) = ( 2e(−2x) /x, 0 ≤ x < ∞, 0 ≤ y ≤ x , otherwise. (a) Compute Cov(X, Y ). (b) Find E(Y | X). (c) Compute Cov(X,E(Y | X)) and show that it is the same as Cov(X, Y ). How general do you think is the identity that Cov(X,E(Y | X))=Cov(X, Y )?
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).
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...
a) The joint probability density function of the random variables X, Y is given as f(x,y)...
a) The joint probability density function of the random variables X, Y is given as f(x,y) = 8xy    if  0≤y≤x≤1 , and 0 elsewhere. Find the marginal probability density functions. b) Find the expected values EX and EY for the density function above c) find Cov  X,Y .
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X...
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X        2   4   6 Y   1   0.1   0.15   0.06    3   0.17   0.1   0.18    5   0.04   0.07   0.13 (a)   Find expected value of g(X,Y) = XY2 (b)   Find Covariance of 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.
* The random variables X and Y have a joint density function given by fX,Y(x, y)...
* The random variables X and Y have a joint density function given by fX,Y(x, y) = ⇢ 1/y, 0 < y < 1, 0 < x < y, 0, otherwise. Compute (a) Cov(X,Y) and (b) Corr(X,Y).
Problem 4 The joint probability density function of the random variables X, Y is given as...
Problem 4 The joint probability density function of the random variables X, Y is given as f(x,y)=8xy if 0 ≤ y ≤ x ≤ 1, and 0 elsewhere. Find the marginal probability density functions. Problem 5 Find the expected values E (X) and E (Y) for the density function given in Problem 4. Problem 7. Using information from problems 4 and 5, find Cov(X,Y).
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero...
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero elsewhere a)Are X and Y discrete or continuous random variables? b)Construct and joint probability distribution table by writing these probabilities in a rectangular array, recording each marginal pmf in the "margins" c)Determine if X and Y are Independent variables d)Find P(X>Y) e)Compute E(X), E(Y), E(X^2) and E(XY) f)Compute var(X) g) Compute cov(X,Y)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT