Calculate Conversion Probability for Male Ad Impressions
Company: Meta
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Onsite
##### Scenario
Estimating conversion probabilities for ad impressions using basic probability theory.
##### Question
Prior: P(convert)=2%. Conditional: P(convert|male)=3%, P(convert|female)=1%. After observing the user is male, compute the updated conversion probability and explain the formula. If an ad converts, what is the probability the user is male? Show your steps.
##### Hints
Apply the law of total probability and Bayes’ rule clearly.
Quick Answer: This question evaluates understanding of conditional probability and Bayesian inference, including interpretation of marginal and conditional conversion rates and the use of the law of total probability and Bayes' rule.