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Calculating variance- matlab discrepancy

  1. Jan 26, 2008 #1
    I am summarizing the problem that I have:

    Problem Description
    Given a model with 5 states [0 0 0 0 3] and with probabilities (1/3, 1/5, 1/5, 1/5, 1/15) find the variance.

    Solution

    I think I am calculating it properly but I am getting a different answer than MATLAB.

    Var = E(x^2) - E(x)^2

    Calculate E(x^2)
    P1X1^2 + P2X2^2 + P3X3^2 + P4X4^2 + P5X^2 =
    1/3(0) + 1/5(0) + 1/5(0) + 1/5(0) + 1/15(9) = 9/15

    Calculate E(x)^2
    (P1X1 + P2X2 + P3X3 + P4X4 + P5X5)^2 =
    (1/15(3))^2 = (3/15)^2 = 9/225

    Therefore variance is 9/15 - 9/225 = 0.5600

    However, MATLAB gives me 1.8.
    Who is right?

    Thanks

    Asif
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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