Question: Suppose the density function of a continuous random Variable \(X\) is:

\(f(X)=A X^{-1 / 2}\) where \(4 \leq X \leq 25\)

1. Find the value of the constant \(\mathrm{A}\) so that \(\mathrm{f}(\mathrm{X})\) is a PROPER probability function.
2. Find \(\operatorname{CDF}(\mathrm{X}), \mathrm{E}(\mathrm{X}), \mathrm{E}\left(\mathrm{X}^{2}\right), \mathrm{V}(\mathrm{X}), \sigma(\mathrm{X})\)
3. Find \(\mathrm{P}(9 \leq \mathrm{X} \leq 16)\)

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