Use the following problem statement to answer questions $26-29.$

The NF homebuilding company plans to build a new shopping center. A consultant for the company has constructed a project network and estimated activity times, in weeks. The consultant found the following critical path: $ACD.$ The expected activity times of $A,C$ and $D$ are $11,8,$ and $5$ weeks. The variances of $A,C$ and $D$ are $4,2,$ and $1.$ Round to four decimal places. $[$Note: $z=\frac{x-t}{}]$

H$1$MEN$$

Standard Normal

Distribution Table

The table entries represent the area under the standard normal curve from $0$ to the specified value of $z$

$\backslash$table$[[z,0,0\mathrm{.}01,0\mathrm{.}02,0,03,0\mathrm{.}04,10065,0\mathrm{.}06,0\mathrm{.}07,0\mathrm{.}08,0\mathrm{.}09],[0\mathrm{.}0,0\mathrm{.}0000,0\mathrm{.}0040,0\mathrm{.}0080,0\mathrm{.}0120,0\mathrm{.}0160,0\mathrm{.}0199,0\mathrm{.}0239,0\mathrm{.}0279,0\mathrm{.}0319,0\mathrm{.}0359],[0\mathrm{.}1,0\mathrm{.}0398,0\mathrm{.}0438,0\mathrm{.}0478,0\mathrm{.}0517,0\mathrm{.}0557,0\mathrm{.}0596,0\mathrm{.}0636,0\mathrm{.}0675,0\mathrm{.}0714,0\mathrm{.}0753],[0\mathrm{.}2,0\mathrm{.}0793,0\mathrm{.}0832,0\mathrm{.}0871,0\mathrm{.}0910,0\mathrm{.}0948,0\mathrm{.}0987,0\mathrm{.}1026,0\mathrm{.}1064,0\mathrm{.}1103,0\mathrm{.}1[4]$