IncidentIQ is a production-ready hybrid incident response system that combines gradient boosting with AI agents to solve the edge case problem in DevOps and IT operations. Traditional ML models excel at classifying standard incidents but fail catastrophically on edge cases like misleading symptoms that point to the wrong root cause, false positives during expected high-traffic events, or novel patterns from feature deployments. IncidentIQ uses a fast binary classifier (incident vs. normal) to handle 80% of cases in milliseconds, then routes ambiguous situations to a multi-agent AI system that investigates root causes, applies business context, and proposes specific remediation actions with full reasoning chains. The system demonstrates value through five edge cases: preventing $47K in unnecessary Black Friday scaling when the model falsely predicted an incident, catching a gradual memory leak 2 hours before failure that the model missed, discovering network degradation was the real cause when the model incorrectly blamed the database, identifying specific feature flag interactions affecting only 2% of users when the model had low confidence, and detecting early-stage cascade failures across services when individual metrics appeared normal. Built with production-grade governance including hard rules, human review triggers, and comprehensive audit trails, the system prevents unnecessary remediations, eliminates false positive alerts, and converts ambiguous incidents into actionable insights. This architecture demonstrates that modern ML operations require intelligent orchestration of models, agents, and human oversight, not just better algorithms, and the same hybrid pattern applies to any domain where rigid automation meets complex edge cases like credit decisioning, fraud detection, claims processing, or trading anomaly detection.