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)

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

Homework Answers

Answer #1

The solution to this problem is given below

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
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT