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Determine if each of the following is true or false. Explain your reasoning. You are welcome to give proofs or counterexamples, but explaining your reasoning

Determine if each of the following is true or false. Explain your reasoning. You are welcome to give proofs or counterexamples, but explaining your reasoning is sufficient. For this problem, (X(t)) is a Poisson process of rate > 0 and Wn denotes the time of event n.

(a) The random variables W3 W2 and W17 W16 are indepdendent.

(b) We have Var[Wn] = n Var[W1] for every positive integer n.

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