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Expected Rolls and Variance

MolocoMediumStatistics & Probability00:00
Moloco
Your interviewer · Data Scientist
In session
Interviewer

Welcome to your interview for the Data Scientist role at Moloco.

The question is on your right: Expected Rolls and Variance. Take a moment with it first.

Talk your thinking through with me if you like - when you're confident, submit your answer and I'll grade it like a real screen. You have three graded attempts to score 7/10 or better.

Only Submit answer is graded - discussion is free practice.

Problem

Suppose you are rolling a fair six-sided die until you get a six. What is the expected number of rolls, and how does the variance change if the die is biased?