Joe used a project management software package and has determined the following results for a given project: Expected completion time of the project $=22$ days Variance of project completion time $=2\mathrm{.}77$ What is the probability of completing the project within $20$ days?

$0\mathrm{.}3849$

$0\mathrm{.}8849$

$0\mathrm{.}1151$

$0\mathrm{.}7642$

None of the above