4. Suppose that Y1, Y2,... is an AR(1) process with = 0.5, = 0.4, and...

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4. Suppose that Y1, Y2,... is an AR(1) process with μ = 0.5, φ = 0.4, and

σ2

= 1.2.

(a) What is the variance of Y1?

(b) What are the covariances between Y1 and Y2 and between Y1 and Y3?

(c) What is the variance of (Y1 + Y2 + Y3)/2?

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