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(15 points) GGiven autocorrelation functions RXX( ), RY Y ( ) of two stochastic processes X(t), Y (t) respectively, which among the following represent autocorrelation

(15 points) GGiven autocorrelation functions RXX( ), RY Y ( ) of two stochastic processes X(t), Y (t) respectively, which among the following represent autocorrelation functions. Give Reasons. i) R2 XX( ) + RY Y ( ) ii) RXX( ) RY Y ( ) iii) RXX( )RY Y ( ) iv) R2 XX( )iven X Uniform(0, 3), and Y = 1 (1 X) 2 . Find the probability density function (p.d.f.) of Y

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