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The Leslie matrix for a female cheetah population with four age groups consisting of cubs, adolescents, young adults, and adults has largest eigenvalue $c=1.255$ and associated eigenvector $\left[\begin{array}{l}30.5 \\ 11.4 \\ 17.2 \\ 80.3\end{array}\right]$.$\newline$a) What is true about the long-term fate of this population?$\newline$A. _The population dies out because the initial population is an eigenvector$\newline$B. _The population dies out because the long-term growth factor $c$ is less than $1$$\newline$C. The population grows exponentially because the long-term growth factor $c$ is positive$\newline$D. _The population grows exponentially because the long-term growth factor $c$ is greater than $1$$\newline$E. _The population stays the same because the initial population is not an eigenvector$\newline$b) Determine the percentage of female cubs in the long run. Round the percentage to two decimal places.