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Let Xand Ybe jointly stationary, jointly Gaussian processes with mean zero. auto-correlation functions Rx(t)=Ry(t)=4exp(-t)and cross-correlation function Rxy(t)=2exp(-lt-3|).Define Z(t)= X()+Y() (a)Is Z a stationary process? Is
Let Xand Ybe jointly stationary, jointly Gaussian processes with mean zero. auto-correlation functions Rx(t)=Ry(t)=4exp(-t)and cross-correlation function Rxy(t)=2exp(-lt-3|).Define Z(t)= X()+Y() (a)Is Z a stationary process? Is it a Gaussian process? Explain your answers.(b)Find P(0.5X(1)2.5Y(2)+1).
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