Question: Suppose X has a Poisson distribution whose parameter value is the outcome of an independent exponential random variable with parameter . (i) Write an R

Suppose X has a Poisson distribution whose parameter value is the outcome of an independent exponential random variable with parameter μ. 

(i) Write an R function exppois(k,μ) for simulating k copies of such a random variable. 

(ii) Use your function to estimate E[X] for the case μ = 1 and match up with the result of Example 8.7.

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