Question: Let X and Y be two continuous random variables with densities fX and fY , respectively, and with the same range of values, R. Is

Let X and Y be two continuous random variables with densities fX and fY , respectively, and with the same range of values, R. Is it possible that fX(x) < fY (x) for all x ∈ R?

If it is, give an example, otherwise explain why this cannot happen.

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