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Sagot :
Usando la distribución hipergeométrica, la probabilidad de que ambas estén numeradas con el valor 1, es: 0.0222 = 2.22%.
¿Qué es la fórmula de distribución hipergeométrica?
La fórmula es:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
- x es el número de éxitos.
- N es el tamaño de la población.
- n es el tamaño de la muestra.
- k es el número total de resultados deseados.
Los valores de los parámetros son:
N = 10, k = 2, n = 2.
La probabilidad de que ambas estén numeradas con el valor 1, es P(X = 2), entonces:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,10,2,2) = \frac{C_{2,2}C_{8,0}}{C_{10,2}} = 0.0222[/tex]
Puede-se aprender más a cerca de la distribución hipergeométrica en https://brainly.com/question/24826394
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