Question

Asked Nov 15, 2019

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Step 1

As per question, N(T) is a poisson process with rate λ and it is independent of the nonnegative random variable T with mean µ and variance σ^{2}.

**a)**

T and N(T) are independent, then they are not correlated with each other, so

**Cov(T,N(T)) = 0**

⸪ Covariance is zero for independent variables.

Step 2

b) Variance of a poisson distribution with parameter λ is **λ...**

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