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Math Help - Statistics and Geometric Progression

  1. #1
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    Statistics and Geometric Progression

    Here is the problem:
    Determine constant c so that c(1/4)^n, n = 1,2,3 ...
    satisfies p.d.f for R.V. N.

    So I state the geometric progression

    Sn = ( 1 -r^n / 1 - r)

    yielding

    1/4 [ 1 - (1/4)^n / 1 - (1/4)]

    Then I take the limit of the geometric progression and I get:

    1/3

    and I conclude 1 = 1/3c so c = 3

    does this sound correct.
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by Haskell View Post
    Here is the problem:
    Determine constant c so that c(1/4)^n, n = 1,2,3 ...
    satisfies p.d.f for R.V. N.

    So I state the geometric progression

    Sn = r ( 1 -r^n / 1 - r) << if the sum starts from n=1

    yielding

    1/4 [ 1 - (1/4)^n / 1 - (1/4)]

    Then I take the limit of the geometric progression and I get:

    1/3

    and I conclude 1 = 1/3c so c = 3

    does this sound correct.
    It's perfect, just be careful of the red thing
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