1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Poisson Distribution

  1. Jun 11, 2005 #1
    Could anybody attempt to solve this probability question? It incorporates the Poisson Distribution. Thank You.

    A company finds that it issues a mean of 7 pairs of earplugs a week to any employee. What is the probability that the number of pairs taken by any employee is 9 per week? (Using the Poisson Distribution). Explain what the odds are of such overuse.
     
  2. jcsd
  3. Jun 11, 2005 #2
    Pretty much straightforward question, what have u attempted?

    -- AI
     
  4. Jun 12, 2005 #3
    Hello Tenali,

    Thanks for your response. I cannot find the formula to answer this problem which makes it incresingly difficult to answer.
     
  5. Jun 13, 2005 #4
  6. Jun 13, 2005 #5
    Answer

    Poisson Distribution: the probability that n events happend within an interval of length t has a Poisson distribution such that:

    P{N(t)=n} = exp(-mt)(mt)^n/n!, for t>=0
    where m (often defined as lamda) is the mean rate, i.e., m = 1/mean

    For this problem, if we define an event to be a pair of earplug to be issued to an employee, then we are asked to find the probability that exactly 9 pairs of earplugs are taken by any employee a week, thus,
    t = 1 week, (note that m and t have the same time units), n = 9
    P{N(1)=9}=exp(-1/7*1)(1/7*1)^9/9! = 5.92x10^-14 (apprxo.)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Poisson Distribution
  1. Poisson distribution (Replies: 2)

  2. Poisson distribution (Replies: 1)

  3. Poisson Distribution (Replies: 1)

  4. Poisson distribution (Replies: 2)

Loading...