September 2004, q13

Discussion in 'CT3' started by 12345, Sep 16, 2007.

  1. 12345

    12345 Member

    Hello,

    Part (iii) (b) states the expected frequencies, of which we are asked to complete the table but I can't replicate the results given.

    Using the method used in the solutions, I would say that the expected frequency of y=0 is:

    [(1-0.18728) x [(1.1505^0 / 0!) x e^-1.1505]] x 200 = 51.44...

    Could anyone who's not queueing up outside Northern Rock currently point out my silly mistake?
     
  2. CA2 student

    CA2 student Member

    Hi

    The formula for P(Y=0) is different to the formula for P(Y=r) for r=1,2,3,... as it says at the top of the questions.

    So P(X=0) = e^(-1.1505)

    P(Y=0) = a + (1-a)P(X=0)
    = 0.1873 + 0.8127 e^(-1.1505)
    = 0.4445

    Expected frequency = 0.4445 x 200
    = 88.9

    (I've used a instead of alpha)
     
  3. 12345

    12345 Member

    You've saved me from a sleepless night, many thanks!
     

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