week-10.json
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[ { "id": "stats1-w10-000", "front": "Week 10 Diagnostic: Let X take values 1 and 3 with probabilities 0.4 and 0.6 respectively. What is E[X]?", "back": "Answer: 2.2 — E[X] = 1*(0.4) + 3*(0.6) = 0.4 + 1.8 = 2.2." }, { "id": "stats1-w10-001", "front": "Week 10 Diagnostic: If Var(X) = 4, what is Var(3X + 5)?", "back": "Answer: 36 — Var(aX + b) = a^2 * Var(X). Here a = 3, so Var(3X + 5) = 3^2 * 4 = 9 * 4 = 36." } ]
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