Question $21(2$ points$)$

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 estimated project time of $145$ working days with a project variance of $400.$ What is the probability that the project will be completed before the latepayment deadline?

$0\mathrm{.}8056$

$0\mathrm{.}4599$

$0\mathrm{.}0401$

$0\mathrm{.}9599$

near $1\mathrm{.}0000,$ or almost certain