Assignment 1

Assignment 1 - ECON 425 ASSIGNMENT 1 DUE September 8...

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ECON 425 ASSIGNMENT 1 S. C. Ahn DUE September 8 (Thursday) Show your effort . No credit will be given if no appropriate explanation follows. 1. (10 pts.) Let Y be a random variable distributed as shown in the accompanying table. y 1 2 3 4 f ( y ) .1 .2 .3 .4 Find E( y ) and var( y ). 2. (70 pts.) The joint probability distribution of X and Y is given by the following table: (For example, f ( x , y ) = f(4,9) = 0.) x \ y 1 3 9 2 1/8 1/24 1/12 4 1/4 1/4 0 6 1/8 1/24 1/12 (1) Derive the marginal pdfs of X and Y . (2) Determine whether X and Y are stochastically independent or not. (3) Compute population means of
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This document was uploaded on 02/10/2012.

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