$\backslash$table$[[$Copied from Q$3-7,],[$Slope:$,0\mathrm{.}0,,0\mathrm{.}0001],[$Intercept:$,-2\mathrm{.}1,,],[$Standard Deviation:,$0\mathrm{.}6,,0\mathrm{.}0772],[,,,],[,,,],[$Possible Prey Densities,Expected Growth Rate,Probabilites growth is $>0,$Percentages of Growth$],[17458,-0\mathrm{.}3314,,],[19318,-0\mathrm{.}1454,,],[22109,0\mathrm{.}1337,,],[25829,0\mathrm{.}5057,,]]$

Given the predicted prey densities to choose from,you will finally calculate the probabilities and select the one that will give $>80\%$ chance of causing a positive growth rate.

$($Hint: This is a two$-$step process$)$

Step $1.$ Calculate the expected growth rate using using the linear relationship from Question $3$

Step $2.$ Using the growth rate calculated for each of the prey densities, calculate the probabilities the growth rate is $>0$

You will be graded on your ability to utilize formulas to calculate the Expected Growth Rates AND Probabilities Growth $>0.$