Question

consider the joint density function Fx,y,za (x,y,z)=(x+y)e^(-z) where 0<x<1, 0<y<1, z>0 find the marginal density of...

consider the joint density function

Fx,y,za (x,y,z)=(x+y)e^(-z) where 0<x<1, 0<y<1, z>0

find the marginal density of z : fz (z).

hint. figure out which common distribution Z follows and report the rate parameter

integral (x+y)e^(-z) dz

(x+y)(-e^(-z) + C

is my answer 1. ???

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A joint density function is given by fX,Y (x, y) = ( kx, 0 < x...
A joint density function is given by fX,Y (x, y) = ( kx, 0 < x < 1, 0 < y < 1 0, otherwise. (a) Calculate k (b) Calculate marginal density function fX(x) (c) Calculate marginal density function fY (y) (d) Compute P(X < 0.5, Y < 0.1) (e) Compute P(X < Y ) (f) Compute P(X < Y |X < 0.5) (g) Are X and Y independent random variables? Show your reasoning (no credit for yes/no answer). (h)...
Consider the joint density function f (x, y) = 1 if 0<= x<= 1; 0<=y<= 1....
Consider the joint density function f (x, y) = 1 if 0<= x<= 1; 0<=y<= 1. [0 elsewhere] a) Obtain the probability density function of the v.a Z, where Z = X^2. b) Obtain the probability density function of v.a W, where W = X*Y^2. c) Obtain the joint density function of Z and W, that is, g (Z, W)
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?
Let fX,Y be the joint density function of the random variables X and Y which is...
Let fX,Y be the joint density function of the random variables X and Y which is equal to fX,Y (x, y) = { x + y if 0 < x, y < 1, 0 otherwise. } Compute the probability density function of X + Y . Referring to the problem above, compute the marginal probability density functions fX(x) and fY (y). Are the random variables X and Y independent?
Let X have density fX(x) = C/ sqrt(x), 0 < x < 1 (a) Find the...
Let X have density fX(x) = C/ sqrt(x), 0 < x < 1 (a) Find the cumulative distribution FY (y) and probability density function fY (y) of Y = X(1 − X). (b) Find probability density function fZ(z) of Z = X1/4 . SHOW ALL STEPS OF WORKING OUT CLEARLY PLEASE.THANKS!
Let X and Y be continuous random variables with joint density function f(x,y) and marginal density...
Let X and Y be continuous random variables with joint density function f(x,y) and marginal density functions fX(x) and fY(y) respectively. Further, the support for both of these marginal density functions is the interval (0,1). Which of the following statements is always true? (Note there may be more than one)    E[X^2Y^3]=(∫0 TO 1 x^2 dx)(∫0 TO 1 y^3dy)    E[X^2Y^3]=∫0 TO 1∫0 TO 1x^2y^3 f(x,y) dy dx    E[Y^3]=∫0 TO 1 y^3 fX(x) dx   E[XY]=(∫0 TO 1 x fX(x)...
Let X and Y be a random variables with the joint probability density function fX,Y (x,...
Let X and Y be a random variables with the joint probability density function fX,Y (x, y) = { cx2y, 0 < x2 < y < x for x > 0 0, otherwise }. compute the marginal probability density functions fX(x) and fY (y). Are the random variables X and Y independent?.
The joint probability density function of two random variables (X and Y) is given by fX,Y...
The joint probability density function of two random variables (X and Y) is given by fX,Y (x, y) = ( C √y (y ^(α+1)) exp {( − y(2β+x ^2 ) )/2 } , x ∈ (−∞,∞), y ∈ [0,∞), 0 otherwise. (a) Find C. (b) Find the marginal density of Y . What type of distribution does Y follow? (c) Find the conditional density of X | Y . What type of distribution is this?
Convolution of distribution integral range 1.Example: Exponential distribution convolution fx+y(z)=intergral from 0 to z fx(x)fy(z-x))dx how...
Convolution of distribution integral range 1.Example: Exponential distribution convolution fx+y(z)=intergral from 0 to z fx(x)fy(z-x))dx how we get the range 0 to z??? Better to use mathematics and a graph to explain. Also, when it ask find the density function X+Y, should I just add two exponential density function together?
Let X and Y be a random variables with the joint probability density function fX,Y (x,...
Let X and Y be a random variables with the joint probability density function fX,Y (x, y) = { e −x−y , 0 < x, y < ∞ 0, otherwise } . a. Let W = max(X, Y ) Compute the probability density function of W. b. Let U = min(X, Y ) Compute the probability density function of U. c. Compute the probability density function of X + Y .
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT