[See] Consider the following function
Question: Consider the following function
\[f(x)=\left\{ \begin{matrix} k{{(2-x)}^{2}},\begin{matrix} 0\le x\le 2 & {} \\ \end{matrix} \\0,\begin{matrix} elsewhere & {} \\ \end{matrix} \\
\end{matrix} \right.\]
- Find the k in order to make f(x) a valid probability density function.
- Find P(X>1).
- Find the expected value of this distribution.
- Find the median of this distribution.
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