2 (a)Two random variables X1 and X2 have a joint probability density function given as:,-(2x1+3x2) x1,X2 2 0p(x1, x2) = {AeotherwiseA is a constant. Find the correlation function and the marginal pdf p(x1).(b)Fora transmitted signal x(t) = 5V rectangular pulse, the received signal contaminatedby noise n(t) is given byy(t) = x(t) + n(t)(i)(ii)If the pdf of noise is Gaussian distributed, write down the pdf of y(t).Also express this pdf in terms of Q-function.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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) Two random variables X1 and X2 have a joint probability density function given as: -(2x1+3X2) ,X1, X2 20 p(x1,x2) = {{Ae otherwise