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Math Help - poisson

  1. #1
    Junior Member
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    poisson

    Q.
    A customer comes to a gas station at a rate of one every five minutes. what is the probability
    (a) that no one comes for 5 mins
    (b)that at least 3 cars come during five minutes!??

    i know it is poisson but in (a) i dont know what lamda is and why?
    and in
    (b) i have 1-[e^(-lamda.t)]-[lamda.t.e^(-lambda.t)]-[1/2(lambda.t)^2.e^(-lambda.t)]
    that is the answer in the book but I don't see why the "t" is brought down , do you differentiate it or something???
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  2. #2
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    Quote Originally Posted by eleahy View Post
    Q.
    A customer comes to a gas station at a rate of one every five minutes. what is the probability
    (a) that no one comes for 5 mins
    (b)that at least 3 cars come during five minutes!??

    i know it is poisson but in (a) i dont know what lamda is and why?
    and in
    (b) i have 1-[e^(-lamda.t)]-[lamda.t.e^(-lambda.t)]-[1/2(lambda.t)^2.e^(-lambda.t)]
    that is the answer in the book but I don't see why the "t" is brought down , do you differentiate it or something???
    He gives you the rate which is 1 (or 1/5 depending on how you look at it). For (a) what is the distribution of the waiting time? For (b) I think you need to look up what the Poisson distribution is.
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