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Math Help - Multiple Random Variables

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    18

    Multiple Random Variables

    Multiple Random Variables-capture2.png

    can some one tell me what I need to do ? I'm lost.

    I don't see what relationship I need to use to calculate their average.
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  2. #2
    Junior Member
    Joined
    Aug 2009
    Posts
    27
    a) Try to use the CLT. You have to calculate  P(|\bar{X} - mu| \geq 6) using the change of variable  Z = (\bar{X} - \mu)/\var{\bar{X}}

    b) Since all the variables are independent,
     E(e^{t\sum_{k=1}^{36} X_k}) = E(e^{tX_1}) \dots E(e^{tX_{36}}) = \left(E(e^{tX_1})\right)^{36}
    and since you the distribution of X, you know the mgf.
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