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Sagot :
Utilizando la distribución binomial, la probabilidad de resolver un problema de n problemas propuestos, es p^n.
¿Cuál es la fórmula de distribución binomial?
La fórmula es:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
- x es el número de éxitos.
- n es el número de intentos.
- p es la probabilidad de éxito en un solo intento.
La probabilidad de que todos los problemas sean resolvidos es dada por P(X = n), asi:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = n) = C_{n,n}.p^{n}.(1-p)^{n-n}[/tex]
P(X = n) = p^n
Puede-se aprender más a cerca de la distribución binomial en https://brainly.com/question/25132113
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