Using the data from the table, what is [tex]P(3)[/tex]?

\begin{tabular}{|c|c|}
\hline
[tex]$X$[/tex] & Probability: [tex]$P(X)$[/tex] \\
\hline
0 & 0.1 \\
\hline
1 & 0.2 \\
\hline
2 & 0.4 \\
\hline
3 & 0.2 \\
\hline
4 & 0.1 \\
\hline
\end{tabular}



Answer :

To find the probability [tex]\( P(3) \)[/tex] using the data from the given table:

1. Identify the Value of Interest:
You are asked to find the probability when [tex]\( X = 3 \)[/tex].

2. Locate the Corresponding Probability:
Go to the row in the table where [tex]\( X = 3 \)[/tex]. The table provided lists values of [tex]\( X \)[/tex] alongside their respective probabilities [tex]\( P(X) \)[/tex].

3. Read the Probability Value:
In the table, the row corresponding to [tex]\( X = 3 \)[/tex] has the probability value [tex]\( 0.2 \)[/tex].

Therefore, the probability [tex]\( P(3) \)[/tex] is [tex]\( 0.2 \)[/tex].