Results 1 to 2 of 2

Math Help - Probability & Poisson Theory

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    2

    Probability & Poisson Theory

    It is my understanding that the Poisson Theory applies in the following question but I still require help -

    Given a fixed period of time what is the probablity of any number of sales for each product given that the expected total sales on average is 3.

    Product A most sales 60%
    Product B most sales 15%
    Equal Sales 25%

    Expected sales
    3

    Knowing these values, what is the probability of

    Product A 0 sales & Product B 0 sales

    Product A 1 sale & Product B 1 sale

    Product A 1 sale & Product B 0 sales

    Product A 3 sales & Product B 1 sale

    and so on etc


    When all variations of sales (with the most that could possibly be sold is 8) are calculated they should equal the corresponding expected sales i.e 0-0, 1-1, 2-2. 3-3, 4-4 should be the same as Equal Sales of 25% and the same for the others.

    I hope i have explained the problem well enough and would appreciate any helpful comments or answers.

    I have been using excel to calcuate this but there appear to be a number of inconsistancies when any of the starting values are changed.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jul 2008
    Posts
    138
    Your paraphrasing makes it a lot harder to understand the problem.

    During a fixed period of time, the expected total sales for two different products is 3 items. The probability that product A has the most sales is 30%, that product B has the most sales is 15%, and that there are as many sales of product A as B is 25%.

    No more than 8 could be sold? How is that? I don't see how you could use Poisson if you have a cap of 8. Poisson distributions have infinitely many outcomes. Are there just 4 of each product? You could try to apply Poisson, but there will be non-zero probability of selling more than 8 items.

    Are you sure you didn't mean some other distribution?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Poisson probability
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: March 22nd 2011, 12:01 AM
  2. Poisson Probability
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: June 21st 2010, 07:37 AM
  3. Probability (Poisson)
    Posted in the Statistics Forum
    Replies: 2
    Last Post: December 16th 2009, 07:00 PM
  4. Probability and Poisson Theory
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 3rd 2009, 06:29 AM
  5. Probability with Poisson PMF
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: August 18th 2008, 04:38 PM

Search Tags


/mathhelpforum @mathhelpforum