Results 1 to 2 of 2

Thread: Poisson Distribution (flaw per square metre)

  1. #1
    Newbie
    Joined
    Mar 2017
    From
    Canada
    Posts
    3

    Poisson Distribution (flaw per square metre)

    Poisson Distribution (flaw per square metre)-1.jpg
    How can we solve this question?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,565
    Thanks
    2348

    Re: Poisson Distribution (flaw per square metre)

    These are all pretty straightforward

    a) use the Poisson distribution $P[k] = \dfrac{\lambda^k e^{-\lambda}}{k!},~k=0,1,\dots$

    here $\lambda = 0.5~flaws/pane$

    $P[\text{at least 1 flaw}] = 1 - P[\text{0 flaws}]$

    b) let $X$ be the number of flaws, distributed as in (a)

    $E[Profit] = 5 P[X=0] - 3 P[X>0]$

    c) here $\lambda = 2~flaws/pane$

    find $P[X=0]$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Feb 23rd 2015, 07:58 AM
  2. Replies: 1
    Last Post: Dec 27th 2011, 01:08 PM
  3. Poisson distribution and asymptotic normal distribution.
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: Aug 18th 2010, 05:52 AM
  4. Square root of Poisson Distribution
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: Aug 9th 2010, 08:27 PM
  5. Poisson Square Wave (PSW) and Filtered Poisson Process (FP)
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: Apr 5th 2010, 12:56 PM

Search Tags


/mathhelpforum @mathhelpforum