Detection and Estimation Theory Assignment - 1 Q.1 If f(x ) = 2(1-x)2 , for OC 2 1 ] f ) Find E [ x ] and E [y ] find variances of X and Y h ) find the coordation coefficient between xandy i ) Determine if x and yar independent. 9.3 Suppose that X is a Gaussian random variable with zero mean and unit variance . Let Y= ax 3 +b, a>o Determine and plot the PDF of Y, Q.y The PDF of a random variable x is fx ( * )= ( a / TT ) a) Determine the mean and variance of X. b ) Determine the PDF of Y= axtb