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Home » \[ \frac5000251.33 \approx 19.89 \] - Appfinity Technologies

\[ \frac5000251.33 \approx 19.89 \] - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 First, compute the binomial coefficient:

📌 \binom{5}{2} = \frac{5!}{2!(5-2)!} = \frac{120}{2 \cdot 6} = 10

📌 Now compute the powers:

📌 Multiply all parts:

📌 \cdot 0.0625 \cdot 0.421875 = 0.626953125

📌 \boxed{0.626953125}

📌 Question: An AI system classifies 7 independent data points into two categories — success or failure — each with a 40% chance of success. What is the probability that at least 5 of the classifications are successes?

📌 Solution: This is a binomial probability problem with $ n = 7 $, $ p = 0.4 $, and we want $ P(X \geq 5) = P(X=5) + P(X=6) + P(X=7) $.

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