Which of the following is the autocorrelation function Rex (t1, t2) of a Poisson Random process with an arrival rate X? (assume t₂ > t₁) [Hint: Use the expectation formula. Try to express the autocorrelation in terms of known quantities.] a. Raz (t₁, t₂) = x²t₁t₂ + Xt₁ b. Raz (t₁, t₂) = x²t²/2 + Xt₂ c. Raz (t₁, t₂) = x²t² + Xt₁ d. Rez(t₁, t₂) = x²t₁t₂ + Xt₂

A First Course in Probability (10th Edition)
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Which of the following is the autocorrelation function Rez(t1, t₂) of a Poisson Random process with an arrival rate λ?
(assume t₂ > t₁) [Hint: Use the expectation formula. Try to express the autocorrelation in terms of known quantities.]
a. Raz(t₁,t2) = X²t₁t2 + Xt₁
b. Raz (t1, t₂) = x²t²/2 + Xt₂
II
c.
Rxx(t₁, t₂) = X²t² + Xt₁
d. Rex (t₁, t₂) = X²t₁t2 + λt₂
Transcribed Image Text:Which of the following is the autocorrelation function Rez(t1, t₂) of a Poisson Random process with an arrival rate λ? (assume t₂ > t₁) [Hint: Use the expectation formula. Try to express the autocorrelation in terms of known quantities.] a. Raz(t₁,t2) = X²t₁t2 + Xt₁ b. Raz (t1, t₂) = x²t²/2 + Xt₂ II c. Rxx(t₁, t₂) = X²t² + Xt₁ d. Rex (t₁, t₂) = X²t₁t2 + λt₂
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