Question

(a) Define the properties of a homogeneous Poisson process. Include a conceptual diagram illustrating the process, and label the diagram to support your answer.

(b) How is an inhomogeneous Poisson process different?

(c) Describe how the following distributions are related to a homogeneous Poisson process with rate A 3 marks exp Poisson(A f(x) r! -At Aexp Exponential(A) f (x) -At (At)"-1 (n-1)! Gamma (n, f(x) exp Your description should identify what each distribution is used to model

Answer 1

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