Question: (2) Does {Yn} converge in probability, and if so what Is (22) Does {Yn} converge with probability 1, and if so what is the limit?

(2) Does {Yn} converge in probability, and if so what Is (22) Does {Yn} converge with probability 1, and if so what is the limit? (izz) Does {Yn} converge in the mean square sense, and if so what is the limit? 3. (15%) Let {Zn} be a random sequence defined through Zn = Xn + Yn where Xn = A for all n = 1, 2, ... and A is a random variable with mean 0 and variance o. {Yn} is a white noise process with power spectral density No/2 which is independent of {Xn}. (2) Find the mean and autocorrelation function of Zn and determine whether { Zn } is a weakly stationary process or not. 2

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