M/ M/ 1 - Poisson Process

• random events in time, an event is equally likely within any time period _t

• poison arrivals with average arrival rate _,

• poison service with average service rate _

• prob(1 at t + _t) = (___) prob(0 at t)

• prob(2 at t + _t) = (___)2 prob(0 at t)

• prob(3) = (___)3 prob(0)

• => prob(n) = (___)n prob(0)

  • _____prob(n) = 1

• => prob(0) = 1-(___) = 1 - _

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