Your question is Modeling Supply Chain Delay Distributions. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
You are analyzing shipment delay data across routes, carriers, and seasons. The delays include early arrivals, on time deliveries, and occasional extreme late shipments, so the pattern is not likely to follow a single simple distribution.
What statistical distributions would you expect to see in supply chain delay data, and how would you model them?