Question

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)

Homework Answers

Answer #1

hii... although I am trying to provide the detailed answer but if you have any doubt please ask by comment. your rating encourage us to provide the detailed and effective answers so please like the answer. thanks

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 be two continuous random variables with joint probability density function f(x,y) =...
Let X and Y be two continuous random variables with joint probability density function f(x,y) = 6x 0<y<1, 0<x<y, 0 otherwise. a) Find the marginal density of Y . b) Are X and Y independent? c) Find the conditional density of X given Y = 1 /2
Let X and Y be two continuous random variables with joint probability density function f(x,y) =...
Let X and Y be two continuous random variables with joint probability density function f(x,y) = xe^−x(y+1), 0 , 0< x < ∞,0 < y < ∞ otherwise (a) Are X and Y independent or not? Why? (b) Find the conditional density function of Y given X = 1.(
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]
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
19. Let X and Y be continuous random variables with joint pdf: f(x, y) = x−y...
19. Let X and Y be continuous random variables with joint pdf: f(x, y) = x−y for 0 ≤ y ≤ 1 and 1 ≤ x ≤ 2. If U = XY and V = X/Y , calculate the joint pdf of U and V , fUV (u, v).
Assume that X and Y has a continuous joint p.d.f. as (28x^2)*(y^3) in 0<y<x<1 interval. Otherwise...
Assume that X and Y has a continuous joint p.d.f. as (28x^2)*(y^3) in 0<y<x<1 interval. Otherwise the joint p.d.f. is equal to 0. Prove that the mentioned f(x,y) is a joint probability density function. Calculate E(X) Calculate E(Y) Calculate E(X2) Calculate Var(X) Calculate E(XY) Calculate P(X< 0.1) Calculate P(X> 0.1) Calculate P(X>2) Calculate P(-2<X<0.1)
X and Y are continuous random variables. Their joint probability distribution function is : f(x,y) =...
X and Y are continuous random variables. Their joint probability distribution function is : f(x,y) = 1/5(y+2) , 0 < y < 1, y-1 < x < y +1 = 0, otherwise a) Find marginal density of Y, fy(y) b) Calculate E[X | Y = 0]
X and Y are continuous random variables. Their joint probability density function is given as f(x,y)...
X and Y are continuous random variables. Their joint probability density function is given as f(x,y) = 1/5 (y+2) for 0<y<1 and y-1<x<y+1. Calculate the conditional expectation E(x/y=0). Please show all the work and explain if the answer will be a number or just y in a given range.
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.
Suppose X and Y are continuous random variables with joint pdf f(x,y) = x + y,...
Suppose X and Y are continuous random variables with joint pdf f(x,y) = x + y, 0 < x< 1, 0 < y< 1. Let W = max(X,Y). Find EW.