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.