Question

Let X be continuous uniform (0,1) and Y be exponential (1). Let O1 = min(X,Y) and...

Let X be continuous uniform (0,1) and Y be exponential (1). Let O1 = min(X,Y) and O2 = max(X,Y) be the order statistics of ,Y. Find the joint density of O1, O2.

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
Let X and Y be independent and identical uniform distribution on [0,1]. Let Z=min(X, Y). Find...
Let X and Y be independent and identical uniform distribution on [0,1]. Let Z=min(X, Y). Find E[Y-Z]. What is the probability Y=Z?
X and Y are independent variables, with X having a uniform (0,1) distribution and Y being...
X and Y are independent variables, with X having a uniform (0,1) distribution and Y being an exponential random variable with a mean of 1. Given this information, find P(max{X,Y} > 1/2)
Let X and Y be i.i.d and follow a uniform distribution in [0,1]. Find the joint...
Let X and Y be i.i.d and follow a uniform distribution in [0,1]. Find the joint distribution of(U,V) where U=X+Y and V =X/Y.
Suppose that X and Y are independent Uniform(0,1) random variables. And let U = X +...
Suppose that X and Y are independent Uniform(0,1) random variables. And let U = X + Y and V = Y . (a) Find the joint PDF of U and V (b) Find the marginal PDF of U.
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
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.
A uniform random variable on (0,1), X, has density function f(x) = 1, 0 < x...
A uniform random variable on (0,1), X, has density function f(x) = 1, 0 < x < 1. Let Y = X1 + X2 where X1 and X2 are independent and identically distributed uniform random variables on (0,1). 1) By considering the cumulant generating function of Y , determine the first three cumulants of 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) = 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 X1, ..., X5 ~ Gamma(1, 1), the unit exponential distribution, and let X(1), ..., X(5)...
Let X1, ..., X5 ~ Gamma(1, 1), the unit exponential distribution, and let X(1), ..., X(5) be the corresponding order statistics. Write the densities of X(2) and X(5) and the joint density of (X(2), X(5)). From these, compute the probabilities P(X(2) > 2), P(X(5) < 4), and P(X(5) - X(2) > 3).
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a)....
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a). Find the cdf and density of Z = X/Y . b). Compute P(X < Y ). c). Find the cdf and density of W = min{X,Y }.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT