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Home » Unlock Your Potential: Read and Write to Transform Your Career Forever! - Treasure Valley Movers

Unlock Your Potential: Read and Write to Transform Your Career Forever! - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Thus, final answer under correct interpretation:

📌 A volcanologist monitors three independent seismic stations, each recording a real number between 0 and 100 inclusive, representing ground displacement. What is the probability that the median of the three values is less than 50?

📌 We compute the probability that the median of three independent, uniformly distributed integers (in a continuous interval, or approximately discrete but symmetric end) is less than 50.

📌 By symmetry of the uniform distribution about 50, the probability that the median is less than 50 equals the probability it is greater than 50.

📌 This holds by symmetry of the distribution around 50.

📌 Thus, even in discrete uniform case on integers 0 to 100 (101 values), the symmetry about 50 still implies the median is less than 50 just as often as it is greater — and since its discrete, consider:

📌 The median is less than 50 if at least two of the three values are less than 50.

📌 Contradiction? No — the continuous symmetry argument fails here due to discrete jump at 50 and small sample size.

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