Let {X(t)} be a random process with X(t)=Acos(ωt+θ), t≥0 where ω is a constant, A is a random variable that has magnitude +1 and −1 with equal probabilities and θ is a uniformly distributed random variable over the interval (0,2π). Which of the the following statements are true for the random process {X(t)}?
A. E(A)=E[cos(ωt+θ)
B. E[X(t)]=E[A]
C. X¯¯¯¯T=ATωcosθsinωT
D. {X(t)} is mean ergodic process
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