II. Let RVsx, Y be uniform on triangle with vertises (0, 0), (2, 2), (2, 2). Find 1. Joint pdf    2. Marginal pdfs         3. P(Y > 1 x > 0)          4. Cov(x, Y)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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II. Let RVsx, Y be uniform on triangle with vertises (0, 0), (2, 2), (2, 2). Find

1. Joint pdf    2. Marginal pdfs         3. P(Y > 1 x > 0)          4. Cov(x, Y)

 

III. Let RVY = x + N where x = B(1,1/3) and N = N(2, 3) are independent. Consider vector RV V = (xY)T. Find     E(V) = and covariance matrix KV

 


IV. Let U = 2x, V = X + Y, and W = 3X + 3Y - Z, where X, Y, Z are independent standard
Gaussian.
1. Find joint pdf for U, V, W      2. Find marginal pdf fV (V)

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