80. LetI mage denote the interarrival times of events of a nonhomogeneous Poisson process having intensity functionI

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80. LetI mage denote the interarrival times of events of a nonhomogeneous Poisson process having intensity functionI mage.

(a) Are the Image independent?

(b) Are the Image identically distributed?

(c) Find the distribution of Image.

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