Question

Let f(x,y)=1 for 0<x<1, 0<y<1 and 0 otherwise. Find the probability density function of Z=max(X, Y)

Let f(x,y)=1 for 0<x<1, 0<y<1 and 0 otherwise. Find the probability density function of Z=max(X, Y)

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
Let f(x,y)=1 for 0<x<1, 0<y<1 and 0 otherwise. Find the probability density function of Z=max(X, Y)
Let f(x,y)=1 for 0<x<1, 0<y<1 and 0 otherwise. Find the probability density function of Z=max(X, Y)
Let X have the distribution that has the following probability density function: f(x)={2x,0<x<1        {0, Otherwise...
Let X have the distribution that has the following probability density function: f(x)={2x,0<x<1        {0, Otherwise Find the probability that X>0.5. Why is the probability 0.75 and not 0.5?
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.(
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 .
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 have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩...
Let X and Y have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩ ke−y , if 0 ≤ x ≤ y < ∞, 0, otherwise. (a) (6pts) Find k so that f(x, y) is a valid joint p.d.f. (b) (6pts) Find the marginal p.d.f. fX(x) and fY (y). Are X and Y independent?
Let X, Y ∼ U[0, 1], be independent and let Z = max{X, Y }. (a)...
Let X, Y ∼ U[0, 1], be independent and let Z = max{X, Y }. (a) (10 points) Calculate Pr[Z ≤ a]. (b) (10 points) Calculate the density function of Z. (c) (5 points) Calculate V ar(Z).
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0...
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0 otherwise a) Find the standard deviation of X to four decimal places. b) Find the mean of X to four decimal places. c) Let y=x2 find the probability density function fy of Y.
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)
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤...
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤ x  ≤ 2 and zero otherwise. Find the mean and standard deviation of the random variable X.