week-12.json
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[ { "id": "stats1-w12-000", "front": "Week 12 Diagnostic: For a continuous random variable X with PDF f(x), what is P(X = 5)?", "back": "Answer: 0 — For any continuous random variable, the probability of taking any exact single point value is strictly 0: P(X = c) = 0." }, { "id": "stats1-w12-001", "front": "Week 12 Diagnostic: If X is uniformly distributed on [2, 6], what is the value of the PDF f(x) for x in [2, 6]?", "back": "Answer: 0.25 — For X ~ U(a, b), f(x) = 1 / (b - a). Here b = 6, a = 2, so f(x) = 1 / (6 - 2) = 1/4 = 0.25." } ]
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