Sept 2014 Q7

Discussion in 'CS1' started by Tina, Aug 27, 2023.

  1. Tina

    Tina Keen member

    In i), the MLE for p\hat is p = x/(3.25n)
    In iii), n=200 and the following data is given:
    no of claims 0 1 2 >2
    observed freq 123 58 13 6
    and the complete question for iii) is:
    A statistician proposes that the parameter p can be estimated by p\hat = 58/200 since p is the probability that a randomly chosen policy leads to one claim per year. Estimate the parameter p using the estimator derived in part (i).
    In its solution, n=200 and x=(123+58+13) = 194 is substituted despite mentioning one claim per year.
    I found this confusing.

    So,could anyone please help me clear this part?
    thank you
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    The statistician has made a mistake - that's why you are asked to calculate the actual value in part (iii) and then comment on why the statistician's answer is different in part (iv)
     
  3. Tina

    Tina Keen member

    Thank you for your response!
    Also,could you please clear why we did not add 6 when calculating x?
     
  4. Andrew Martin

    Andrew Martin ActEd Tutor Staff Member

    Hello

    This is because X is defined as the number of policies with up to 2 claims (as per the paragraph preceding part (i)).

    Hope this helps!

    Andy
     
  5. Tina

    Tina Keen member

    Thank you!
     

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