Question

2. Consider a post office that is ru by two clerks. Suppose that when Mr Smith enters the system he discovers that Mr. Jones is being served by one of the clerks and Mr. Brown by the other. Suppose also that Mr. Smith is told that his service will begin as soon as either Jones or Brown leaves. If clerk i serves at an exponential rate λί, 1-1, 2. (a) Show that Goh),เดี่)' Pl Smith is not the last to leave the post office) = t+a (b) What is the expected time until all three customers have left the post office?

please answer both parts with details. thank you

Answer 1