Let (X(t) : t ≥ 0) be a Poisson process of rate 2. Write down a random variable related to this process which has the given properties: (i) Has the Po(4) distribution and is independent of X(4) (ii) Has the Po(4) distribution and is not independent of X(4) (iii) Has the Bin(10, 31 ) distribution.

Q: (6) Let X be a Poisson random variable with parameter 0, then E(X²) = 1. От OF

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