Question

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]

Homework Answers

Answer #1

Note-please provide valid pdf....the pdf or the range is not valid..

If there is any understanding problem regarding this please feel free to ask via 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 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 )
2. Random variables X and Y have a joint PDF fX,Y (x, y) = 2 for...
2. Random variables X and Y have a joint PDF fX,Y (x, y) = 2 for 0 ≤ y ≤ x ≤ 1. Determine (a) E[X] and Var[X]. (b) E[Y ] and Var[Y ]. (c) Cov(X, Y ). (d) E[X + Y ]. (e) Var[X + Y ].
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).
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y)...
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y) = 1(0 < x < 1,0 < y < 1). (a) Find P(X + Y ≤ 1). (b) Find P(|X −Y|≤ 1/2). (c) Find the joint cdf F(x,y) of (X,Y ) for all (x,y) ∈R×R. (d) Find the marginal pdf fX of X. (e) Find the marginal pdf fY of Y . (f) Find the conditional pdf f(x|y) of X|Y = y for 0...
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 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).
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.
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = (1/2)xy...
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = (1/2)xy for 0 < x < 2 and x < y < 2 (a) Find P(X < 1, Y < 1). (b) Use the joint pdf to find P(Y > 1). Be careful setting up your limits of integration. (c) Find the marginal pdf of Y , fY (y). Be sure to state the support. (d) Use the marginal pdf of Y to find P(Y...
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = (1/2)xy...
Suppose the continuous random variables X and Y have joint pdf: fXY (x, y) = (1/2)xy for 0 < x < 2 and x < y < 2 (a) Find P(Y < 2X) by integrating in the x direction first. Be careful setting up your limits of integration. (b) Find P(Y < 2X) by integrating in the y direction first. Be extra careful setting up your limits of integration. (c) Find the conditional pdf of X given Y = y,...
Consider the random variables X and Y with the following joint probability density function: fX,Y (x,...
Consider the random variables X and Y with the following joint probability density function: fX,Y (x, y) = xe-xe-y, x > 0, y > 0 (a) Suppose that U = X + Y and V = Y/X. Express X and Y in terms of U and V . (b) Find the joint PDF of U and V . (c) Find and identify the marginal PDF of U (d) Find the marginal PDF of V (e) Are U and V independent?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT