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m_a_m_a [10]
2 years ago
8

El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos en

cuentre como mucho un huevo roto
Mathematics
1 answer:
crimeas [40]2 years ago
5 0

Answer:  

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

             

Step-by-step explanation:  

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x}

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1      

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

P = P(0) + P(1)

P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!                                                                                                                                                                                            

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