Contract requirements state that a project must be completed within $180$ working days, or it will incur penalties for late completion. Analysis of the activity network reveals an expected project completion time of $145$ days with a project standard deviation of $20$ days. What is the probability that the project will be completed before the late$-$payment deadline?

Group of answer choices

$0\mathrm{.}0401$

$0\mathrm{.}4599$

$0\mathrm{.}8056$

$0\mathrm{.}9599$