Question

. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥...

. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥ z) = e−z for z ≥ 0. Find the expectation of min(X,Y )

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
X, Y, Z are 3 independent random variables. We know that Y, Z is the 0-1...
X, Y, Z are 3 independent random variables. We know that Y, Z is the 0-1 random variables indicating whether tossing a regular coin gets a head (1 means getting a head and 0 means not). We also know the following equations, E(X2Y +XYZ)=7 E(XY 2 + XZ2) = 3 Please calculate the expectation and variance of variable X.
Suppose that X1 and X2 are independent continuous random variables with the same probability density function...
Suppose that X1 and X2 are independent continuous random variables with the same probability density function as: f(x) = ( x 2 0 < x < 2, 0 otherwise. Let a new random variable be Y = min(X1, X2,). a) Use distribution function method to find the probability density function of Y, fY (y). b) Compute P(Y > 1). c) Compute E(Y )
Let continuous random variables X, Y be jointly continuous, with the following joint distribution fXY​(x,y) =...
Let continuous random variables X, Y be jointly continuous, with the following joint distribution fXY​(x,y) = e-x-y ​for x≥0, y≥0 and fXY(x,y) = 0 otherwise​. 1) Sketch the area where fXY​(x,y) is non-zero on x-y plane. 2) Compute the conditional PDF of Y given X=x for each nonnegative x. 3) Use the results above to compute E(Y∣X=x) for each nonnegative x. 4) Use total expectation formula E(E(Y∣X))=E(Y) to find expected value of Y.
Suppose that X1 and X2 are independent continuous random variables with the same probability density function...
Suppose that X1 and X2 are independent continuous random variables with the same probability density function as: f(x) = ( x 2 0 < x < 2, 0 otherwise. Let a new random variable be Y = min(X1, X2,). a) Use distribution function method to find the probability density function of Y, fY (y). b) Compute P(Y > 1).
Let X and Y be independent Geometric(p) random variables. (a) What is P(X < Y)? (b)...
Let X and Y be independent Geometric(p) random variables. (a) What is P(X < Y)? (b) What is the probability mass function of the minimum min(X, Y )?
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 }.
Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X...
Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X = 1) = 1/3 and Y take the value 1 if X = 0 and 0 otherwise. Find the covariance and check if random variables are independent. How to check if they are independent since it does not mean that if the covariance is zero then the variables must be independent.
X and Y are continuous random variables. Their joint probability density function is given as f(x,y)...
X and Y are continuous random variables. Their joint probability density function is given as f(x,y) = 1/5 (y+2) for 0<y<1 and y-1<x<y+1. Calculate the conditional expectation E(x/y=0). Please show all the work and explain if the answer will be a number or just y in a given range.
Suppose that X and Y are two jointly continuous random variables with joint PDF ??,(?, ?)...
Suppose that X and Y are two jointly continuous random variables with joint PDF ??,(?, ?) = ??                     ??? 0 ≤ ? ≤ 1 ??? 0 ≤ ? ≤ √?                     0                        ??ℎ?????? Compute and plot ??(?) and ??(?) Are X and Y independent? Compute and plot ??(?) and ???(?) Compute E(X), Var(X), E(Y), Var(Y), Cov(X,Y), and Cor.(X,Y)
Continuous random variables X1 and X2 with joint density fX,Y(x,y) are independent and identically distributed with...
Continuous random variables X1 and X2 with joint density fX,Y(x,y) are independent and identically distributed with expected value μ. Prove that E[X1+X2] = E[X1] +E[X2].
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT