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A question about mean of Geometric distribution

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  • A question about mean of Geometric distribution

    Does anyone know which formula will be used in Exam p?Is 1/p or (1-p)/p?

  • #2
    Which formula?

    These are not two different formulas, but two different definitions of the geometric distribution: one counts the number of times you have to try to succeed the first time, the other one counts the number of times you fail before you succeed. Take the difference of these two values and you will get one -- exactly the difference between those two random variables, accounting for the success on the last trial.

    This really should be covered in the book you are reading -- what is your textbook?

    Yours,
    Krzys' Ostaszewski

    Originally posted by wy3310
    Does anyone know which formula will be used in Exam p?Is 1/p or (1-p)/p?
    Want to know how to pass actuarial exams? Go to: smartURL.it/pass

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    • #3
      Thanks prof. krzysio.I understand what's the difference between these two formulas.
      The books that I have used are 'A first course in probability' by Sheldon Ross and 'Fundamentals of probability with stochastic processes' by Saeed Ghahramani.
      Thanks again.

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      • #4
        Originally posted by krzysio
        These are not two different formulas, but two different definitions of the geometric distribution: one counts the number of times you have to try to succeed the first time, the other one counts the number of times you fail before you succeed. Take the difference of these two values and you will get one -- exactly the difference between those two random variables, accounting for the success on the last trial.

        This really should be covered in the book you are reading -- what is your textbook?

        Yours,
        Krzys' Ostaszewski
        What if the actuarial test just gives us p, what formula are we to use?

        sincerely,
        dhreminsky

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        • #5
          Geometric distribution

          Originally posted by brokenmorn
          What if the actuarial test just gives us p, what formula are we to use?
          sincerely,
          dhreminsky
          The context of the problem will tell you if you are counting the number of times you try until you succeed or the number of times you try before you succeed -- read the problem carefully and watch for that context.

          Yours,
          Krzys'
          Want to know how to pass actuarial exams? Go to: smartURL.it/pass

          Comment

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