[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.\]

  1. Find the k in order to make f(x) a valid probability density function.
  2. Find P(X>1).
  3. Find the expected value of this distribution.
  4. Find the median of this distribution.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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