Calculate expected value for coin flips
Last updated: April 11, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
Expedia
April 11, 202626
5
4,204 solved
Given the following scenario about revenue per session, calculate the the p-value.
Expedia values data-driven decision making. This Technical Screen question assesses whether you can design experiments, interpret results correctly, and avoid common statistical pitfalls like p-hacking or Simpson's paradox.
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
- How would you design a follow-up experiment based on these results?
- What assumptions does this test make, and how would you validate them?
- How would you handle multiple comparisons?
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Problem Formulation
We need to evaluate the expected value of revenue per session based on the outcomes of a coin flip experiment. Let be the revenue generated per session. Suppose we have two scenarios based on ...
Solution Approach
To find the expected value, we will need to:
- Define the values of and based on data from previous sessions or estimates.
- Determine the probability of getting Heads, w...
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