Unformatted text preview: C . b) Find P (2 X ≥ Y ) . c) Find F X ( α ) . d) Are X and Y independent? Justify. 6) X and Y are two random variables with joint pdf p XY ( x,y ) = ( . 25 | x | < y, ≤ y ≤ 2 otherwise Let C be the event that ≤ Y < 1 . a) Find p X ( x | C ) . b) Find E [ X | C ] . 7) X 1 and X 2 are two independent Gaussian random variables each with mean zero and unit variance. Let Y 1 = 2 X 1 + X 2 + 3 (1) Y 2 = X 1-X 2-1 (2) Find the joint probability density function of Y 1 and Y 2 ....
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- Fall '11
- Variance, Probability theory, probability density function, Gaussian random variables