#### 49.67

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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
• 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.

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