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    Density Function Question - f(x) = 3x^2?

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    Let X be a random variable defined by the given density function

    f(x) = 3x^2 0 <= x <= 1
    = 0 otherwise

    Find (a) E(X), (b) E(3X-2) and (c) E(X^2).

    See the attached file.

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    Solution Preview

    Please see attached file.


    (a) By the definition , we know
    1. Since only on [0,1], f(x) is nonzero, we ...

    Solution Summary

    This solution shows how to perform calculations for a given density function, formatted in an attached Word document.