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(3) Let X:SR be a random variable such that the PDFf=fX is an even function (i.e. f(x)=f(x)) on R.
Compute E[X]. Is it possible for f to be a PDF and odd? Why or why not?

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3 Let XSR be a random variable such that the PDFffX is a.pdf

  • 1. (3) Let X:SR be a random variable such that the PDFf=fX is an even function (i.e. f(x)=f(x)) on R. Compute E[X]. Is it possible for f to be a PDF and odd? Why or why not?