Recognising the MGF

Discussion in 'CT6' started by Arfan Rahman, Jan 10, 2018.

  1. Arfan Rahman

    Arfan Rahman Member

    Hi, from the CT6 tuorial videos a MGF is given as (5-4e^t)^-1. Now i can recognise that this is a MGF for a negative binomial but I am finding it difficult to work the solution to the parameters; i.e. what does p,q and k equal to.

    Any help will be greatly appreciated !
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    Take a factor of 5 out:

    \([5(1-0.8e^t)]^{-1} = 0.2(1-0.8e^t)^{-1}\)

    Hence \(p=0.2\), \(q=0.8\) and \(k=1\).
     
    Arfan Rahman likes this.

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