Unformatted text preview: X and Y are independent with EX = 1, EY = 2, var( X ) = 3, and var( Y ) = 1. Find the mean and variance of 3 X + 4 Y5. 9.4. Suppose X takes on the values2 ,1 , , 1 , 2 with probability 1 / 5 each, and let Y = X 2 . (a) Find cov( X,y ). (b) Are X and Y independent. 9.5. Let X be binomial(4, 1/2) random variable. Use Chebyshev’s inequality to estimate P (  X2  ≥ 2) and compare with exact probability....
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This note was uploaded on 02/13/2012 for the course MATH 411 taught by Professor Staff during the Fall '08 term at Texas A&M.
 Fall '08
 Staff
 Math

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