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A_A = 1000(1 + 0.05t) - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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This is a binomial probability problem where we have \( n = 7 \) trial...
The formula for the binomial probability is:
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
Substitute \( n = 7 \), \( k = 4 \), and \( p = \frac{1}{2} \):
P(X = 4) = \binom{7}{4} \left( \frac{1}{2} \right)^4 \left( \frac{1}{2...
Calculate \( \binom{7}{4} \):
\binom{7}{4} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35
So, the probability becomes:
P(X = 4) = 35 \times \left( \frac{1}{2} \right)^7 = 35 \times \frac{1}...
Thus, the probability that exactly 4 stations detect an earthquake is...

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