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Model Feature Adoption Probability for Users

CoinbaseData Scientist · Technical Screen

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This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Model Feature Adoption Probability for Users states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Feature adoption probability modeling

Question

Each user adopts the wallet feature with independent probability p. For n users: (a) expected number of adopters, (b) probability that at least one adopts, (c) given that at least one adopts, probability exactly two adopt.

Hints

Use the binomial distribution, complement rule, and conditional probability.