Calculate conditional probability for coin flips
Last updated: October 8, 2025
Quick Overview
Given the following scenario about revenue per session, calculate the the sample size needed.
Instacart
October 8, 202528
13
2,926 solved
Given the following scenario about revenue per session, calculate the the sample size needed.
This statistics question from Instacart's Technical Screen tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.
What the Interviewer Expects
- Set up the problem formally with proper notation
- Apply the correct statistical test with clear justification
- Interpret results with appropriate caveats and confidence levels
- Discuss practical significance vs statistical significance
- Identify potential confounders and how to address them
Key Topics to Cover
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
- What alternative statistical method could you use here?
- What assumptions does this test make, and how would you validate them?
- How would you handle multiple comparisons?
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Browse Statistics QuestionsSample Answer
Problem Formulation
We want to determine the sample size needed to calculate the conditional probability of revenue per session, given certain conditions about user behavior. Let's define the following variables:
- Let ...
Solution Approach
- Define the parameters: We need to decide on a confidence level (commonly 95%) and a margin of error (e.g., $5).
- Estimate the proportion : If we have historical data, we can estima...
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