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Home » \( \textMoles from second = 0.250 \, \textL \times 0.4 = 0.10 \, \textmol \) - Appfinity Technologies

\( \textMoles from second = 0.250 \, \textL \times 0.4 = 0.10 \, \textmol \) - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 P(X < 2) = 0.015625 + 0.140625 = 0.15625

📌 Thus, the probability that fewer than two animations are accepted is:

📌 \boxed{0.15625}

📌 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 $

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