The corporate board of directors is hiring a consultant to do a deep analysis of one randomly selected XYZ manufacturing site. Given that 7 of the 14 XYZ sites have had 95% or higher widget production success rate in the last month, what is the probability that a successful site will be selected

Respuesta :

Answer:

Hence, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Step-by-step explanation:

Given :

[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month

To find :

The probability that a successful site will be selected.

We can select  either of [tex]8[/tex] sites out of [tex]9[/tex].

These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.

Total sites[tex]=9[/tex]

Therefore, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]