Answer: This question appears to be incomplete

## Explanation **Note:** The question appears to be incomplete in the provided text. The probability mass function values are missing, which prevents a complete calculation. However, I can provide guidance on how such problems are typically solved. For operational risk frequency modeling with discrete probability mass functions: **Typical Approach:** 1. The PMF would provide probabilities for each possible number of loss events (0, 1, 2, 3, 4, 5) 2. Expected frequency = Σ [x × P(X = x)] for x = 0 to 5 3. Variance = Σ [(x - μ)² × P(X = x)] where μ is the expected frequency **Common Distributions Used:** - Poisson distribution - Negative binomial distribution - Binomial distribution **Key Properties:** - The sum of all probabilities must equal 1 - Expected frequency represents the average number of loss events per period - The distribution helps quantify operational risk exposure **Without the complete PMF values, I cannot provide a specific numerical answer.** The question appears to be cut off in the provided text.

Author: LeetQuiz Editorial Team