The following information relates to a project $($note: task times are in weeks$).$ Use the information to solve for the critical path and then to determine the completion time that would provide a $90\%$ chance of success.

Activity Immediate Predecessor to tm tp

A $-5913$

B A $61014$

C A $101418$

D B $4812$

E C $111417$

F D$,$ E $3813$

Part $2$

Choose the correct activity$-$on$-$node $($AON$)$ diagram below.

Standard Normal Table

Probability $(\%)$

z value

$901\mathrm{.}28$

$951\mathrm{.}65$

$982\mathrm{.}05$

$992\mathrm{.}33$

The completion time for the project is how many weeks? $($Enter your response rounded to one decimal place.$)$