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Home » B. $ \frac{e^-x}{(1 + e^-x)^2} $ - ECD Germany

B. $ \frac{e^-x}{(1 + e^-x)^2} $ - ECD Germany

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Multiply all choices: 5 × 3 × 3 = <<5*3*3=45>>45 distinct configurations.

📌 An ornithologist tracks 12 migratory birds fitted with GPS tags. Each bird follows one of three migration routes: Route A (4 birds), Route B (5 birds), or Route C (3 birds). Due to weather anomalies, birds on Route A are 1.5 times more likely to be delayed than those on Route B, and birds on Route C are twice as likely as Route B. If delays occur independently, and each route has a base delay probability p, express the expected number of delayed birds across all routes in terms of p.

📌 Let delay probability for Route B be p. Then Route A: 1.5p, Route C: 2p.

📌 Expected delays:

📌 Route A: 4 × 1.5p = 6p

📌 Route B: 5 × p = 5p

📌 Route C: 3 × 2p = 6p

📌 Total expected delays = 6p + 5p + 6p = <<6+5+6=17>>17p.

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