For the following project, draw the network and

a$.$ Calculate expected time for each activity: calculate the expected time for activity $1-8.$

b$.$ Calculate the ES$,$ EF$,$ LS$,$ LF$,$ the slack for each activity and identify the critical path:

i$.$ Calculate ES$,$ EF of activity $1-8.($Insert your answer as ES of the activity comma space EF of the activity, e$.$g$.,"0,2")$

ii$.$ Calculate the ES$,$ EF$,$ LS$,$ LF$,$ the slack for each activity and identify the critical path:

Calculate LS$,$ LF of activity $1.($Insert your answer as LS of the activity comma space LF of the activity e$.$g$.,"0,2")$

iii. Calculate the slack for each activity and identify the critical path, insert the critical path as a sequence of activity numbers in ascending order, separated by a comma in space, e$.$g$.,"1,2,3,4,5,6,7,8".$

c$.$ Calculate the probability that the project will be completed by $13$ and $17$ weeks. $($Round the standard deviation of critical path to two decimal places before calculating z score and corresponding probability; Insert final answer $($probability$)$ with four decimals$).$

Use Operations Management strategies...