$3)($extra credit$)$ A company decides to plan a project, with activities, precedence relations and random duration statistics given in the following table: Answer the following questions: $3\mathrm{.}1)(10$ points$)$ What method should be used? Compute the mean and variances for each activity and add them to the table above. $3\mathrm{.}2)(10$ points$)$ Draw the project network and label the arcs with the activity names. $3\mathrm{.}3)(10$ points$)$ Assuming that the critical path is A $->$ B $->$ P$\_1->$ E $->$ G $->$ H$,$ compute the probability thal this path duration is between $28$ weeks and $32$ weeks. $3\mathrm{.}4)(10$ points$)$ Assuming that the critical path is A $->$ B $->$ P$\_1->$ E $->$ G $->$ H$,$ compute the number of weeks within which the project will be rompleted with probability $0\mathrm{.}95.$