Respuesta :
Answer:
96.64%
Step-by-step explanation:
We have been given that the area under a particular normal curve between 14 and 21 is 0.9664. A normally distributed variable has the same mean and standard deviation as the parameters for this normal curve.
We are asked to find the percentage of all possible observations of the variable lie between 14 and 21.
The area under that will lie between 14 and 21 will be same as area under the curve that is between 14 and 21.
So 0.9664 of all possible observations of the variable lie between 14 and 21.
Let us convert 0.9664 into percentage as:
[tex]0.9664\times100\%=96.64\%[/tex]
Therefore, 96.64% of all observations of the variable lie between 14 and 21.
