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Math Help - the probability distribution of Y

  1. #1
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    the probability distribution of Y

    Let m(t) = 0.21+ 0.12e^{2t} + 0.38e^{4t} + 0.29e^{6t} for some discrete random variable Y. Use m(t) to find each
    of the following.
    (A) E(Y)
    (B) V(Y)
    (C) The probability distribution of Y.
    I have found E(Y)=3.5, and V(Y)=4.75, what is the probability distribution of Y, looks like a binimoinal, but not exactly a binimoial
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  2. #2
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    Re: the probability distribution of Y

    Quote Originally Posted by wopashui View Post
    Let m(t) = 0.21+ 0.12e^{2t} + 0.38e^{4t} + 0.29e^{6t} for some discrete random variable Y. Use m(t) to find each
    of the following.
    (A) E(Y)
    (B) V(Y)
    (C) The probability distribution of Y.
    I have found E(Y)=3.5, and V(Y)=4.75, what is the probability distribution of Y, looks like a binimoinal, but not exactly a binimoial
    X can take on the values 0, 2, 4, 6 with non-zero probability.

    Pr(X = 0) = 0.21, Pr(X = 2) = 0.12, Pr(X = 4) = ...., Pr(X = 6) = ....

    Look at the definition of the mgf for a discrete distribution.
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    Re: the probability distribution of Y

    Quote Originally Posted by mr fantastic View Post
    X can take on the values 0, 2, 4, 6 with non-zero probability.

    Pr(X = 0) = 0.21, Pr(X = 2) = 0.12, Pr(X = 4) = ...., Pr(X = 6) = ....

    Look at the definition of the mgf for a discrete distribution.
    I still don't understanf the pattern, why is it like that, x=o means t=0?
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  4. #4
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    Re: the probability distribution of Y

    Quote Originally Posted by wopashui View Post
    I still don't understanf the pattern, why is it like that, x=o means t=0?
    Quote Originally Posted by Mr Fantastic
    [snip] Look at the definition of the mgf for a discrete distribution.
    ..
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