Two-part question and I fumbled the second part at first.
Use window functions to identify each customer's first order date per category and overall, then join these back to the orders table and aggregate by day and category to compute the fractions. For the first metric, group by day and category and divide the count of orders that are first-in-category by the total orders in that day-category. For the second metric, group by day and divide the count of orders that are first-ever by the total orders that day.
Pro tip: Mention that you would clarify whether 'first order' is determined by the earliest order date or by the lowest order ID in case of ties, and discuss how to handle ties to avoid double-counting.
Restate the two metrics and ask clarifying questions about tie-breaking (e.g., if a customer has multiple orders on the same day) and whether 'first order' means earliest date or earliest order ID.
Use ROW_NUMBER() or MIN(order_date) OVER (PARTITION BY customer_id, category) to flag first-in-category orders, and similarly PARTITION BY customer_id for first-ever orders.
For metric 1, group by order_date and category, count first-in-category orders and total orders, then divide. For metric 2, group by order_date, count first-ever orders and total orders, then divide.
Ensure the output includes day, category, fraction_first_in_category, and day-level fraction_first_overall (which may repeat per category or be in a separate result set).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.