Buses arrive at a bus stop according to a renewal process with interarrival density f having mean
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Buses arrive at a bus stop according to a renewal process with interarrival density f having mean μ. Independently, people arrive according to a Poisson process with rate λ. Upon arrival a bus picks up all waiting people.
(a) What fraction of buses encounter no people waiting.
(b) At what rate do buses depart the stop without picking up anyone.
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