TOPIC:Conditional expectation.



the answer should be 4/3 x
u Lipulation of X given Y =y? 10. Let X and Y have joint density (2xy for 0 Sy < 2x < 2 f(x, y) = { otherwise. What is the conditional expectation of Y given X = r?
Q1. Let X and Y have joint density 0, otherwise. a. Find the marginal densities of X and Y b. Find P(0.2 < Y < 0.31X = 0.8).
I really do need help please
7. X, Y have joint density f(x,y) = 2 if 0 < r <y< 1, S(x, y) = 0 otherwise. Compute the conditional density fxiy
(1 point) Let x and y have joint density function p(2, y) = {(+ 2y) for 0 < x < 1,0<y<1, otherwise. Find the probability that (a) < > 1/4 probability = (b) x < +y probability =
If X and Y have a joint probability density function specified by 2-(+2y) find P(X <Y).
2nd pic is answer.
show the work plz
13 Let X and Y have the joint probability density function ,흄.ru2 for 0 < x < y. < 2 f(x,y) = elsewhere What is the joint density function of U it is nonzero? 3X-2Y and V-X + 2Y where 687 Probability and Mathematical Statistics 32768 13° g(u,t) = 0 otherwise.
Let X and Y be random variables with joint density function f(x,y) бу 0 0 < y < x < 1 otherwise The marginal density of Y is fy(y) = 3y (1 – y), for 0 < y < 1. True False
the answer should be 1/2 +x
4. Let X and Y joint density function ( 2e-2(x+y) if 0<r<y< f(x,y) = elsewhere. What is the expected value of Y, given X = x, for x > 0?
1. (10) Suppose the random variables X and Y have the joint probability density function 4x 2y f(x, y) for 0 x<3 and 0 < y < x +1 75 a) Determine the marginal probability density function of X. (6 pts) b) Determine the conditional probability of Y given X = 1. (4 pts)
2. Let the random variables X and Y have the joint PDF given below: 2e -y 0 xyo0 fxy (x, y) otherwise 0 (a) Find P(X Y < 2) (b) Find the marginal PDFs of X and Y (c) Find the conditional PDF of Y X x (d) Find P(Y< 3|X = 1)