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A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Probability Distribution } \\
\hline Score: [tex]$X$[/tex] & Probability: [tex]$P(X)$[/tex] \\
\hline 1 & 0.06 \\
\hline 2 & 0.20 \\
\hline 3 & 0.48 \\
\hline 4 & 0.26 \\
\hline
\end{tabular}

A. 1
B. 2
C. 3
D. 4



Answer :

GinnyAnswer
To determine which score is most likely, we need to analyze the given probability distribution. The table provides the probabilities associated with each score as follows:

[tex]\[ \begin{array}{|c|c|} \hline \multicolumn{2}{|c|}{\text{Probability Distribution}} \\ \hline \text{Score: } X & \text{Probability: } P(X) \\ \hline 1 & 0.06 \\ \hline 2 & 0.20 \\ \hline 3 & 0.48 \\ \hline 4 & 0.26 \\ \hline \end{array} \][/tex]

To find out the most likely score, we examine the probabilities for each score:

- The probability of scoring 1 is [tex]\(0.06\)[/tex],
- The probability of scoring 2 is [tex]\(0.20\)[/tex],
- The probability of scoring 3 is [tex]\(0.48\)[/tex],
- The probability of scoring 4 is [tex]\(0.26\)[/tex].

Among these probabilities, [tex]\(0.48\)[/tex] is the highest probability.

Therefore, the score [tex]\(3\)[/tex] is the most likely score because it has the highest probability of occurring, which is [tex]\(0.48\)[/tex].