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4. (10 points. Write all your steps leading to the answers. ) Let n be a Poisson process with parameter 2, that is P(n, the

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4. (10 points. Write all your steps leading to the answers. ) Let n be a Poisson process with parameter 2, that is P(n, the number of random points arrive in(t, ,t, ), = k) = e-2(6-) ((12-1,)k k! Now, define a new stochastic process as X(t)= -2, if n is odd in (0,t). 2, if n is even in (0,t). (1) Find P(X(t)=2). (2) Find E{X(t) } (3) Find R(t,t, ). (4) Is X(t) WSS? Explain your

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