{"blocks": [{"key": "9328aa38", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "e9e272e3", "text": "For N users, each independently adopts the wallet feature with probability p.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "6e74eb62", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "60e514fe", "text": "Derive the expected number of users who adopt the wallet feature. 2) Compute the probability that at least one user adopts it. 3) State the core statistical assumption used in these calculations. 4) Given that at least one of two specific users adopted the feature, what is the probability both of them did?", "type": "unordered-list-item", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "9750d11f", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "dea0e190", "text": "Apply linearity of expectation, Bernoulli independence, complement rule, and conditional probability.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}