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We are given that $X \sim (9,0.5)$ and also that $Y = (-1)^x$.

I need to find the PMF, mean and variance of Y - which is trivial if I know the distribution of Y...

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    This is trivial indeed. $Y$ takes on only two values: -1,1. You can find the probability it takes on each by figuring out the chance that $X$ is even or odd.2017-02-01
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    Ah of course - thank you!!2017-02-01

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