Expected round of first selection in repeated sampling
Company: Meta
Role: Data Scientist
Category: Analytics & Experimentation
Difficulty: medium
Interview Round: Onsite
Scenario: Ten of 1 000 employees are chosen each round for random perks. On average, which round sees your first selection?
Question 1: With 1 000 people and 10 selected per round without replacement, on average which round sees first selection? (Hint: hypergeometric distribution)
Quick Answer: This question evaluates a data scientist's understanding of probability theory, sampling without replacement, and expected value computation as applied to repeated random selection.