Calculate Expected Users Linking Coinbase Wallets

Q: Calculate Expected Users Linking Coinbase Wallets

This question evaluates competence with Bernoulli trials, binomial distributions, and expectation/probability calculations relevant to modeling independent user actions such as linking a digital wallet.

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Question

Coinbase Wallet Linking: Bernoulli/Binomial Setup

Scenario

You have n users, each independently asked to link a Coinbase wallet. Each user links with probability p (and does not link with probability 1 − p).

Questions

What is the expected number of users who link their wallet?
What is the probability that at least one user links a wallet?
Given that at least one of users A or B links a wallet, what is the probability that both A and B link?

Notes

Independence across users is assumed.
Each user's link decision is a Bernoulli(p) trial.

Calculate Expected Users Linking Coinbase Wallets

Coinbase Wallet Linking: Bernoulli/Binomial Setup

Scenario

Questions

Notes

Solution

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