Calculate probability for coin flips
Last updated: March 10, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
Uber
March 10, 202620
5
4,949 solved
Given the following scenario about revenue per session, calculate the the p-value.
This statistics question from Uber'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
- State the correct formula or theorem with clear definitions
- Apply the concept to the given scenario step by step
- Interpret the result in plain language
- Identify assumptions and when they might be violated
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 if the sample size is very small?
- How would you handle multiple comparisons?
- How would you design a follow-up experiment based on these results?
- What alternative statistical method could you use here?
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Browse Statistics QuestionsSample Answer
Problem formulation
In this problem, we want to calculate the p-value for a given scenario involving coin flips that relate to revenue per session at Uber. Let's define the following:
- Let (null hypothesis) ...
Solution approach
To calculate the p-value, we follow these steps:
- Collect data: Observe the number of heads out of coin flips.
- Calculate the test statistic: Use the binomial probability formula...
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