1. Let $X$ be a discrete random variable with probability mass function $f_{X}$ that is described in the following table. Suppose that $Y=X(X-1) (X-2)$. \begin{tabular}{c||c|c|c|c|} $X$ & 0 & 1 & 2 & 3 \\ \hline$f(x) $ & $0.2$ & $0.2$ & $0.3$ & $0.3$ \end{tabular} a) Find the probability mass function of $Y$. b) Find $E(Y)$ and $V(Y)$. SP.AS. 1257

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1. Let $X$ be a discrete random variable with probability mass
function $f_{X}$ that is described in the following table. Suppose
that $Y=X(X-1) (X-2)$.
\begin{tabular}{c|lc|c|c|c|}
$X$ & 0 & 1 & 2 & 3 \\
\hline$f(x) $ & $0.2$ & $0.2$ & $0.3$ & $0.3$
\end{tabular}
a) Find the probability mass function of $Y$.
b) Find $E(Y)$ and $V(Y)$.
SP.AS. 1257
Transcribed Image Text:1. Let $X$ be a discrete random variable with probability mass function $f_{X}$ that is described in the following table. Suppose that $Y=X(X-1) (X-2)$. \begin{tabular}{c|lc|c|c|c|} $X$ & 0 & 1 & 2 & 3 \\ \hline$f(x) $ & $0.2$ & $0.2$ & $0.3$ & $0.3$ \end{tabular} a) Find the probability mass function of $Y$. b) Find $E(Y)$ and $V(Y)$. SP.AS. 1257
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