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    Gaussian Random Variables

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    1.If X is a Gaussian random variable with zero mean and variance equal to 1, then the density
    function of Z = is equal to 2fx(z), z ≥ 0.
    2. The sum of a random number of independent Gaussian random variables with zero mean and unit variance results in a Gaussian random variable regardless of the distribution of N (the number of variables in the sum).

    keywords: rv, r.v.

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    Solution Preview

    Please see the attached file for the complete solution.
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    Are these statements true or false & explain why?

    It is true,

    To get the pdf of Z, we need to find the distribution of Z first.


    Solution Summary

    Gaussian Random Variables are investigated. The solution is detailed and well presented.