Poisson Process application

Discussion in 'CT3' started by Hemal, Feb 27, 2012.

  1. Hemal

    Hemal Member

    Hi,

    Please help me with the question of Poisson process below:

    In a railway station, passenger cab wait until they have either acquired four passengers or a period of ten minutes has passed since the first passenger stepped into the cab. Passengers arrive according to a Poisson process with an average of one passenger every three minutes.

    (a) You are the first passenger to get into a cab. What is the probability that you will have to wait ten minutes.
    (b) You are the first passenger to get into a cab and you have been waiting there for five minutes. At this stage two other passengers have entered the cab. What is the probability that you will have to wait another five minutes before the cab gets underway?


    Hemal
     
    Last edited by a moderator: Feb 28, 2012

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