Calculate Expected Users Adopting Wallet Feature

Q: Calculate Expected Users Adopting Wallet Feature

This question evaluates probabilistic reasoning and basic statistical concepts—expectation, independent Bernoulli trials, and conditional probability—relevant to a Data Scientist role in the Statistics & Math domain.

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Question

Wallet Feature Adoption – Probability and Expectation

Setup

You are analyzing adoption of a new wallet feature.
There are N users. Each user independently adopts the feature with probability p.

Questions

What is the expected number of users who adopt the feature?
What is the probability that at least one user adopts it?
What core statistical assumption underlies these calculations?
Given that at least one of two specific users adopted the feature, what is the probability both of them did?

Calculate Expected Users Adopting Wallet Feature

Wallet Feature Adoption – Probability and Expectation

Setup

Questions

Solution

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