Let the stochastic process X(t),t 0, be defined by where Z(t) is the standard Brownian process.

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Let the stochastic process X(t),t ≥ 0, be defined by 

= [ eu(1-4), S 10 X (t) = ea(t-u) dz(u),

where Z(t) is the standard Brownian process. Show that 

cov (X (s), X(t)) = ea (s+1) - eals-t| 2 S 0, t 0.

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