Question

a teacher assigns a score from 1 to 4 to each student project. the table shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 2 1 3 4

Explanation:

Step1: Compare probabilities

We have the probabilities for each score: \( P(1) = 0.06 \), \( P(2) = 0.20 \), \( P(3) = 0.48 \), \( P(4) = 0.26 \).

Step2: Identify the maximum probability

Among \( 0.06 \), \( 0.20 \), \( 0.48 \), and \( 0.26 \), the largest value is \( 0.48 \), which corresponds to the score \( 3 \).

Answer:

3