[Solved] Let X be a random variable with PDF f(x)=1/2(1+x), for -1 Find the PDF of the random variable Y=X^2. Find the mean E(Y) and the variance var;(Y)


Question:

Let X be a random variable with PDF

\[f\left( x \right)=\frac{1}{2}\left( 1+x \right),\,\,\,\text{ for }-1
  • Find the PDF of the random variable \(Y={{X}^{2}}\).
  • Find the mean \(E\left( Y \right)\) and the variance \(\operatorname{var}\left( Y \right)\) of the random variable Y.
  • Price: $2.99
    Solution: The downloadable solution consists of 2 pages
    Deliverable: Word Document

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