Question: Using a geolocation system, a dispatcher sends messages to two trucks sequentially. Suppose the joint PDF of the response times X1 and X2, measured in

Using a geolocation system, a dispatcher sends messages to two trucks sequentially.

Suppose the joint PDF of the response times X1 and X2, measured in seconds, is f (x1, x2) = exp(−x2) for 0 ≤ x1 ≤ x2, and f (x1, x2) = 0 otherwise.

(a) Find Corr(X1,X2).

(b) If ((X1, (X2) denote the response times inmilliseconds, find Corr((X1, (X2).

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