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Calculate Expected Draws for X > 0.8 in Uniform(0,1)

TikTokData Scientist · Technical Screen
EasyData ScientistTechnical ScreenStatistics & Math

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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 Calculate Expected Draws for X > 0.8 in Uniform(0,1) states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Quick probability check during the first round to gauge statistical intuition.

Question

If X ~ Uniform(0, 1), on average how many independent draws of X are needed until you observe a value greater than 0.8?

Hints

Model the number of trials with a geometric distribution.