Given that we have a total population of 102, 4 out of every 12 are blue
This implies that the fraction of blue parakeets from 4 out of 12 is
[tex]N_{blue}=\frac{4}{12}=\frac{1}{3}[/tex]Therefore, the number of blue parakeets from the population will be
[tex]\frac{1}{3}\times102=\text{ 34}[/tex]We have 34 blue parakeets are blue
Therefore the number of parakeets that are not blue would be
[tex]\begin{gathered} \text{Total parak}eets-Number\text{ of Blue parak}eets \\ =102-34=68 \end{gathered}[/tex]Hence, the number of parakeets in the population that are not blue is 68