Question

The stock prices of two companies at the end of any given year are modeled with...

The stock prices of two companies at the end of any given year are modeled with random variables X and Y that follow a distribution with joint density function:

f(x,y)=2x for 0<x<1 and 1−x<y<2−x f(x,y)=2x for 0<x<1 and 1−x<y<2−x

What is the conditional variance of Y given that X=x?

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
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?
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 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.(
X and Y are two random variables that follow the probability density function of f (...
X and Y are two random variables that follow the probability density function of f ( x , y ) = c x 2 y for 0<x<3 and 0<y<2. Determine the following: (a) P(X<1&Y<1) (b) P(1<Y<2.5) (c) COV(X,Y) (d) Conditional probability distribution of Y given that X=1.
The joint probability density function of two random variables X and Y is f(x, y) =...
The joint probability density function of two random variables X and Y is f(x, y) = 4xy for 0 < x < 1, 0 < y < 1, and f(x, y) = 0 elsewhere. (i) Find the marginal densities of X and Y . (ii) Find the conditional density of X given Y = y. (iii) Are X and Y independent random variables? (iv) Find E[X], V (X) and covariance between X and Y .
The joint probability distribution of two random variables X and Y is given in the following...
The joint probability distribution of two random variables X and Y is given in the following table X Y → ↓ 0 1 2 3 f(x) 2 1/12 1/12 1/12 1/12 3 1/12 1/6 1/12 0 4 1/12 1/12 0 1/6 f(y) a) Find the marginal density of X and the marginal density of Y. (add them to the above table) b) Are X and Y independent? c) Compute the P{Y>1| X>2} d) Compute the expected value of X. e)...
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.
Given the joint probability density function f ( x , y ) for 0 < x...
Given the joint probability density function f ( x , y ) for 0 < x < 3 and 0 < y < 2 x^2y/81 Find the conditional probability distribution of X=1 given that Y = 1 f ( x , y ) = x^2 y/ 81 . F i n d the conditional probability distribution of X=1 given that Y = 1. i . e . f (X ∣ y = 1 )( 1 )
Q1) The joint probability density function of the random variables X and Y is given by...
Q1) The joint probability density function of the random variables X and Y is given by ??,? (?, ?) = { ?, 0 < ? < ? < 1 0, ??ℎ?????? a) Find the constant ? b) Find the marginal PDFs of X and Y. c) Find the conditional PDF of X given Y, i.e., ?(?|?) d) Find the variance of X given Y, i.e., ???(?|?) e) Are X and Y statistically independent? Explain why.
7. Suppose that random variables X and Y have a joint density function given by: f(x,...
7. Suppose that random variables X and Y have a joint density function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1 (a) Find the density functions of X and Y, f(x) and f(y). (b) Find E[X] and Var(Y).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT