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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||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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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