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Home » Since \(x > 4\), \(x = 2 + 2\sqrt3 \approx 5.464\). - Treasure Valley Movers

Since \(x > 4\), \(x = 2 + 2\sqrt3 \approx 5.464\). - Treasure Valley Movers

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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Solution: We model this as a binomial probability problem. The probabi...
P(k; n, p) = \binom{n}{k} p^k (1-p)^{n-k}
Here, $ n = 5 $, $ k = 2 $, and $ p = 0.25 $. Then:
P(2; 5, 0.25) = \binom{5}{2} (0.25)^2 (0.75)^3
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}

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