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Home » 🔥 Shocking Secrets Revealed in Madea’s Movies You Never Knew About! - Anadea

🔥 Shocking Secrets Revealed in Madea’s Movies You Never Knew About! - Anadea

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 An AI seismic network monitors 8 fault zones. Each zone has a 12% probability of generating a detectable tremor in a week. If tremors are independent, calculate the probability (to 3 decimal places) that at least 2 zones detect tremors in a given week.

📌 Use binomial: \( n = 8 \), \( p = 0.12 \), find \( P(X \geq 2) = 1 - P(X=0) - P(X=1) \)

📌 \( P(X=0) = (1 - 0.12)^8 = 0.88^8 \approx 0.3596 \)

📌 \( P(X=1) = \binom{8}{1} (0.12)^1 (0.88)^7 = 8 \times 0.12 \times 0.лия 0.3937 \approx 8 \times 0.12 \times 0.3937 \approx 0.3782 \)

📌 More accurately:

📌 \( 0.88^7 \approx 0.3900 \), so \( P(X=1) = 8 \times 0.12 \times 0.3900 = 0.3744 \)

📌 Sum: \( 0.3596 + 0.3744 = 0.7340 \)

📌 \( P(X \geq 2) = 1 - 0.7340 = 0.266 \)

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