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Home » Substitute $t = -\frac13$ into $\vecr(t)$: - DNSFLEX

Substitute $t = -\frac13$ into $\vecr(t)$: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Aquí, $ n = 6 $, $ k = 4 $, $ p = \frac{1}{2} $. Sustituyendo:

📌 P(X = 4) = \binom{6}{4} \left(\frac{1}{2}\right)^4 \left(\frac{1}{2}\right)^2 = \binom{6}{4} \left(\frac{1}{2}\right)^6

📌 Calculamos el coeficiente binomial:

📌 \binom{6}{4} = \frac{6!}{4!2!} = \frac{720}{24 \cdot 2} = 15

📌 \left(\frac{1}{2}\right)^6 = \frac{1}{64}

📌 P(X = 4) = 15 \cdot \frac{1}{64} = \frac{15}{64}

📌 \boxed{\dfrac{15}{64}}

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