Respuesta :
A poll worker analyzing the ages of voters found that
[tex]\mu = 65\; \And \; \delta = 5.[/tex] The possible voter age that would give her zx = 1. 14is 71.
Given : that the random variable,
- X= the ages of voters
- Analysis is having mean = 65
- Std deviation = 5
According to the given statements ,
X = normal (65,5) Now, we will convert it into Z-score concept ,
[tex]\rm Z=\dfrac{x-65}{5}[/tex]
We can also write in terms of x as well,
When,
[tex]\rm z = 1.14 \\\\X = 65+5z[/tex]
So,
[tex]\rm X=65+5(1.14) = 65+5.7=70.70[/tex]
Therefore,We can also write it by rounding off the value,i.e.=71
The possible voter age that would give her zx = 1. 14is 71.
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