consider a discrete random variable Y with the following probability table. -2 3 9. 12 p(y) 0.21 0.07 0.13 0.34 0.25

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A) E(7Y+1) B)V(7Y+1)
Consider a discrete random variable \( Y \) with the following probability table.

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
Y & -2 & 3 & 6 & 9 & 12 \\
\hline
p(y) & 0.21 & 0.07 & 0.13 & 0.34 & 0.25 \\
\hline
\end{array}
\]

This table lists the possible values of the discrete random variable \( Y \) and their corresponding probabilities \( p(y) \). Each value of \( Y \) is associated with a probability, showing the likelihood of the variable taking that particular value. The probabilities should sum to 1, confirming they represent a valid probability distribution.
Transcribed Image Text:Consider a discrete random variable \( Y \) with the following probability table. \[ \begin{array}{|c|c|c|c|c|c|} \hline Y & -2 & 3 & 6 & 9 & 12 \\ \hline p(y) & 0.21 & 0.07 & 0.13 & 0.34 & 0.25 \\ \hline \end{array} \] This table lists the possible values of the discrete random variable \( Y \) and their corresponding probabilities \( p(y) \). Each value of \( Y \) is associated with a probability, showing the likelihood of the variable taking that particular value. The probabilities should sum to 1, confirming they represent a valid probability distribution.
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