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

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Please see attached file.


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

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