Question

the probability distribution below is
negatively skewed
symmetric
x positively skewed

Explanation:

In a negatively - skewed distribution, the tail is on the left side. In a symmetric distribution, the left and right sides are mirror images. In a positively - skewed distribution, the tail is on the right side. Looking at the given probability distribution (bar chart), as the values of \(X\) increase, the probabilities first increase and then the last bar (for \(X = 6\)) is the tallest. There is no long tail on the left side (towards lower \(X\) values). If we consider the "tail" concept (where the tail is the part with lower frequencies extending from the main cluster), here the main cluster is towards the right (higher \(X\) values) and there is no indication of symmetry (since the bars are not mirror - like around a central \(X\) value).

Answer:

negatively skewed