To determine which score is most likely, we need to focus on the probabilities associated with each score. A higher probability means that the score is more likely to occur. Let's examine the given probability distribution:
| Score: [tex]\(X\)[/tex] | Probability: [tex]\(P(X)\)[/tex] |
|--------------|-----------------------|
| 1 | 0.06 |
| 2 | 0.20 |
| 3 | 0.48 |
| 4 | 0.26 |
We need to find the score with the highest probability. Let's compare the probabilities:
- The probability for score 1 is [tex]\(P(X=1) = 0.06\)[/tex].
- The probability for score 2 is [tex]\(P(X=2) = 0.20\)[/tex].
- The probability for score 3 is [tex]\(P(X=3) = 0.48\)[/tex].
- The probability for score 4 is [tex]\(P(X=4) = 0.26\)[/tex].
Among these probabilities, the highest probability is [tex]\(0.48\)[/tex], which corresponds to the score 3.
Therefore, the most likely score is 3.
