Results 1 to 2 of 2

Math Help - Poisson Distribution

  1. #1
    Newbie
    Joined
    Feb 2008
    Posts
    6

    Poisson Distribution

    Hi I have a question:
    The number of customers arriving at an office selling tickets for a festival can be modeled by Poisson distribution with mean 1.2 per 2 minute interval. Find the number of arrivals which will not be exceeded in at least 90% of 2 minute intervals.

    I have an idea of how maybe I could answer it. Though it is a guess, so it may be way off:
    Because
    P(X \leq 2; 1.2) = 0.879
    P(X \leq 3; 1.2) = 0.966
    There will be no more than 3 arrivals in 90% of 2 minute intervals.


    Also, as a second question, when I am told "A man sells 8 cars a week"
    and am then told to calculate the probability of him selling "21 cars in two weeks", do I just modify the mean and then work out the probibility? i.e. find the the poisson probability P(X = 21; 16)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Niall2 View Post
    Hi I have a question:
    The number of customers arriving at an office selling tickets for a festival can be modeled by Poisson distribution with mean 1.2 per 2 minute interval. Find the number of arrivals which will not be exceeded in at least 90% of 2 minute intervals.

    I have an idea of how maybe I could answer it. Though it is a guess, so it may be way off:
    Because
    P(X \leq 2; 1.2) = 0.879
    P(X \leq 3; 1.2) = 0.966
    There will be no more than 3 arrivals in 90% of 2 minute intervals.


    Also, as a second question, when I am told "A man sells 8 cars a week"
    and am then told to calculate the probability of him selling "21 cars in two weeks", do I just modify the mean and then work out the probibility? i.e. find the the poisson probability P(X = 21; 16)
    Yes and yes.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 27th 2011, 02:08 PM
  2. Poisson distribution
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: June 5th 2011, 08:33 AM
  3. Poisson distribution and asymptotic normal distribution.
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: August 18th 2010, 06:52 AM
  4. Poisson Distribution
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: April 15th 2010, 03:30 AM
  5. Poisson Distribution
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: May 10th 2007, 12:41 AM

Search Tags


/mathhelpforum @mathhelpforum