'Problem 4 Suppose X and Y have joint PDF 1/y, 0 < y < 1, 0 < % < Y; fx,x(c,y) : 3 0, otherwise. Find E[XY]: Find E[X]: Find the Covariance of X and Y .'
Added by Aitor G.
Step 1
Find E[XY]: We can use the definition of expected value to find E[XY]: E[XY] = ∫∫ xy fX,Y(x,y) dx dy = ∫∫ xy (1/y) fx,x(c,y) dx dy = ∫∫ xy (1/y) 0 dx dy (since fx,x(c,y) = 0 for all x) = ∫∫ 0 dy dx = 0 Therefore, E[XY] = 0. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Maitreya E and 84 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let X and Y have a joint PDF, f(x,y) = 6x, 0 ≤ x ≤ y ≤ 1, 0, otherwise. Find the covariance of X and Y.
Banhishikha S.
Problem 3. Let X and Y be random variables with joint PDF given by f(x,y) = { x+y 0 < x < 1, 0 < y < 1 Otherwise. Find the covariance, Cov(X, Y).
Adi S.
Hi i need help!
Jon S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD