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Math Help - Function of Random Variable

  1. #1
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    Function of Random Variable

    Hello, need some advice regarding this question:

    The probability function of X is given by:

    P(X=1)=p
    P(X=0)=1-p

    find the probability function of:

    Y=sin(pi*X)
    Z=cos(pi*X)

    cheers
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  2. #2
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    Quote Originally Posted by WeeG View Post
    Hello, need some advice regarding this question:

    The probability function of X is given by:

    P(X=1)=p
    P(X=0)=1-p

    find the probability function of:

    Y=sin(pi*X)
    Z=cos(pi*X)

    cheers
    Pr(Y = 0) = 1.

    Pr(Z = 1) = 1.
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  3. #3
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    why ?
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  4. #4
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    Quote Originally Posted by WeeG View Post
    why ?
    What does Y equal when X = 0? 1?

    Ditto Z.
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