Question

RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤...

RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤ y ≤ 1 , and fx,y(x,y) = 0, otherwise, c is a constant.

Find a) fx|y(x|y = 0.5) for x ∈ [0, 0.5],

b) E(X | y = 0.5).

Homework Answers

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
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0&
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0             ,     otherwise a. Find the value of the constant c. b. Find P[x < 1 and  y < 2]
The random variables X and Y have the joint PDF FX,Y(x,y) = { 6*e^-(3x + 2y)...
The random variables X and Y have the joint PDF FX,Y(x,y) = { 6*e^-(3x + 2y) 0 <= x, y { 0 otherwise (a) Show whether X and Y are independent or not. (b) Find the PDF of fX,Y |B(x,y) where B represents the event X + Y < 3 (c) Find fY | B(x) where B represents the event X + Y < 3
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.
The joint PDF of X and Y is given by fX,Y(x, y) = nx^ne^(?xy) , 0...
The joint PDF of X and Y is given by fX,Y(x, y) = nx^ne^(?xy) , 0 < x < 1, y > 0, where n is an integer and n > 2. (a) Find the marginal PDF of X and its mean. (b) Find the conditional PDF of Y given X = x. (c) Deduce the conditional mean and the conditional variance of Y given X = x. (d) Find the mean and variance of Y . (e) Find the...
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 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 )
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).
Let joint CDF Fx,y (x,y) = сxy(x2 + y2) for 0 ≤ x ≤ 1, 0...
Let joint CDF Fx,y (x,y) = сxy(x2 + y2) for 0 ≤ x ≤ 1, 0 ≤ y ≤ 1. Find а) constant с. b) Fx|y (x|y) for x = 0.5, y = 0.5.  
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 ).
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