Results 1 to 3 of 3

Math Help - Poisson distribution HELP!!!!

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    11

    Poisson distribution HELP!!!!

    I need serious help with this problem. It sounds so simple, but I can't find any way to do this.

    Problem: Suppose that telephone calls enter the university's switchboard, on the average, 2 every 5 minutes. Assuming that arriving calls has a Poisson pmf with parameter 4, what is the probability of less than 7 calls in a 10 minute period.

    EDIT: From what I gather, the probability of finding less than 7 would be: P(x < 7) = P(0;4) + P(1;4) + P(2;4) + P(3;4) + P(4;4) + P(5;4) + P(6;4) ???
    Last edited by isuckatprobability; October 19th 2008 at 01:28 PM.
    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 isuckatprobability View Post
    I need serious help with this problem. It sounds so simple, but I can't find any way to do this.

    Problem: Suppose that telephone calls enter the university's switchboard, on the average, 2 every 5 minutes. Assuming that arriving calls has a Poisson pmf with parameter 4, what is the probability of less than 7 calls in a 10 minute period.

    EDIT: From what I gather, the probability of finding less than 7 would be: P(x < 7) = P(0;4) + P(1;4) + P(2;4) + P(3;4) + P(4;4) + P(5;4) + P(6;4) ???
    Correct.

    Note: The parameter is the average of the random variable. Since the average number of calls in a 5 minute period is 2, in a 10 minute period the average number of calls is (2)(2) = 4.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    11
    thank you for confirming my thoughts. I thought the approach was correct but wasn't totally sure
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 27th 2011, 01:08 PM
  2. poisson distribution
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 7th 2011, 09:06 AM
  3. Poisson distribution and asymptotic normal distribution.
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: August 18th 2010, 05:52 AM
  4. poisson distribution
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 10th 2009, 12:36 PM
  5. Poisson Distribution HELP!!!
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: January 7th 2009, 04:06 AM

Search Tags


/mathhelpforum @mathhelpforum