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Home » eq d_i+1 $, provided those indices exist. - RTA

eq d_i+1 $, provided those indices exist. - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 Time for segment 3: 200 / 80 = 2.5 h

📌 Total time = 6.6667 + 15 + 2.5 = 24.1667 h

📌 Average speed = total distance / total time = 1200 / 24.1667 ≈ <<1200/24.1667=49.67>>49.67 km/h

📌 #### 49.67

📌 An anthropologist studies marriage customs across 7 tribes. Each tribe has a distinct marriage age distribution: uniform, triangular, and bimodal. She selects two tribes at random and compares their common marriage age. If the first tribe has a bimodal distribution centered at ages 18 and 22, and the second has a uniform distribution from 18 to 22, what is the expected overlap (in age range) between the two distributions?

📌 Bimodal (Tribe 1): two peaks at 18 and 22 — interpreted as concentrated around these values, width ~4 years (e.g., 16–20 and 20–24).

📌 Uniform (Tribe 2): from 18 to 22 → closed interval.

📌 Assume Bimodal: [16, 20] ∪ [20, 24] → simplified as [16, 24], but realistic peak between 18–22 range. More precisely, as two discrete modes at 18 and 22 with symmetric spread of 2 years: width of 4 years each.

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