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is this going to be a bad winter - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 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.

📌 Correct reasoning (continuous, symmetric):

📌 For three i.i.d. continuous random variables with a symmetric distribution about 50, the distribution of the median is symmetric about 50. Therefore:

📌 So unless specified discrete, symmetry applies.

📌 Moreover, the problem says real number, so likely continuous.

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