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Home » Xion Unlocked Secrets: The Hidden Power Behind This Global Trend! - American Beagle Club

Xion Unlocked Secrets: The Hidden Power Behind This Global Trend! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Question: A hydrologist is studying rainfall patterns and notes that in a certain region, the probability of rain on any given day in July is 0.3. What is the probability that it rains on exactly 5 out of 10 randomly selected days in July?

📌 This is a binomial probability problem. Let $ X \sim \text{Binomial}(n = 10, p = 0.3) $.

📌 We want $ P(X = 5) $:

📌 P(X = 5) = \binom{10}{5} (0.3)^5 (0.7)^5

📌 $ \binom{10}{5} = 252 $

📌 $ (0.3)^5 = 0.00243 $

📌 $ (0.7)^5 = 0.16807 $

📌 Now multiply:

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