Pollard Mccarthy
10/22/2024 · High School

\( X=0,1,2,3, \quad p=0.2 \) (defectuoso) \( \quad n=3 \) Ejemplo1: Supongamos que un tubo de radio puesto en cierto tipo de equipo tiene una probabilidad de 0.2 de funcionar más de 500 hrs, si probamos 20 tubos ¿Cuál es la probabilidad de que exactamente \( K \) de ellos funcione más de 500 hrs?, grafique su resultado.

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Para calcular la probabilidad de que exactamente \( K \) tubos funcionen más de 500 horas, se utiliza la distribución binomial. La fórmula es \( P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \), donde \( n \) es el número total de tubos (20 en este caso), \( k \) es el número de tubos que funcionan, y \( p \) es la probabilidad de que un tubo funcione (0.2). Se calculan las probabilidades para diferentes valores de \( k \) y se grafican los resultados.

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