Question

the probability distribution below is
negatively skewed
symmetric
positively skewed
done

Explanation:

Step1: Recall skewness definitions

• Negatively skewed: Tail on the left - side.
• Symmetric: Mirror - image on both sides.
• Positively skewed: Tail on the right - side.

Step2: Analyze the histogram

In the given histogram, the bars increase from \(x = 1\) to \(x=6\). There is no long tail on the left (negative) side. Also, it is not symmetric (no mirror - like property). Since the values of \(P(X)\) keep increasing as \(X\) increases (no long tail pulling the distribution to the left), it is not negatively skewed. And since there is no symmetry (e.g., no point around which the distribution can be folded to match), it is not symmetric.

Answer:

positively skewed