Results 1 to 2 of 2

Math Help - Complement Rewriting: Poisson, Binomial

  1. #1
    Newbie
    Joined
    Jan 2008
    Posts
    17

    Complement Rewriting: Poisson, Binomial

    In terms of Poisson and Binomial distributions, what is the complement of:
    * At least half
    * More than

    1. Customers returning items to a store arrive at the customer service desk according to a Poisson process with arrival rate of 18 per 30 minute interval. The probability that an arriving person is extremely upset is 50%. What is the chance that more than 100 extremely upset customers arrived between 7 and 8 pm?

    2. Now suppose that exactly 30 customers arrived in the first half hour of operations. What is the probability that at least half of them are extremely upset?

    I know I have to rewrite these in terms of complements, but I'm not quite sure how.
    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 MathGeek06 View Post
    In terms of Poisson and Binomial distributions, what is the complement of:
    * At least half
    * More than

    1. Customers returning items to a store arrive at the customer service desk according to a Poisson process with arrival rate of 18 per 30 minute interval. The probability that an arriving person is extremely upset is 50%. What is the chance that more than 100 extremely upset customers arrived between 7 and 8 pm?

    2. Now suppose that exactly 30 customers arrived in the first half hour of operations. What is the probability that at least half of them are extremely upset?

    I know I have to rewrite these in terms of complements, but I'm not quite sure how.
    2. Let X be the random variable number of extremely upset customers in the group of 30.

    X ~ Binomial( n = 30, p = 1/2).

    You need to calculate \Pr(X \geq 15) = 1 - \Pr(X leq 14).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Binomial/Poisson/Normal
    Posted in the Statistics Forum
    Replies: 5
    Last Post: May 5th 2010, 02:29 AM
  2. Proof of Binomial to Poisson using PGF
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: November 23rd 2009, 04:24 PM
  3. Poisson and binomial
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 3rd 2009, 09:59 PM
  4. Poisson as Binomial
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: January 3rd 2009, 02:44 AM
  5. Poisson and Binomial Variables
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: October 22nd 2008, 11:33 PM

Search Tags


/mathhelpforum @mathhelpforum