(Answered) Question bus lines a b and c service a particular stop

Statistics

Question: Bus lines A, B, and C service a particular stop. Suppose the lines come as independent Poisson processes with rates λA. λB. And λC buses per hour respectively. Find expressions for the following probabilities:

a) Exactly one A bus, two B buses, and one C bus come to the stop in a given hour:

b) A total of 7 buses come to the stop in given two hour time period:

c) Starting from a fixed time, the first A bus arrives after t hours.

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