*38. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate...
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*38. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate A. The bus departs at time t. Let X denote the total amount of waiting time of all those that get on the bus at time /.
We want to determine Var {X). Let N(t) denote the number of arrivals by time t.
(a) What is E[X\N(t)]l
(b) Argue that Õééô[×\Í(ß)] = N(t)t2/\2.
(c) What is VarCY)?
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