Due to population prowth in the area, the new Liberty High School has fust opened in a local school…

Due to population prowth in the area, the new Liberty High School has fust opened in a local school district. The athletic director at Liferty High is planning the launch of the school’s track and field team. The frst team practice is sched-led for April 1. The activities, their immediate predecessors, and the activity time estimates (In woeks are likited in the following table
Activity Description — Time (wreels)
Activity
Activity Description
Inmediate Predecessar
Optimistic
Mast Probable
Pessimistic
A
Moet with board
1
1
2
B
Hire coaches
A
4
5
6
c
Conduct fundralser
A
4
6
8
D
Announce propram
B,C
1
2
3
E
Moet with coaches
B
2
3
4
F
Onder team equipment
A
1
2.
3
G
Resikter athletes
D
1
1
1
H
Reserve buses for mosts
G
1
2
3
1
Plan first practics
E,H,F
1
1
1
The profect netwirk is depleted in the following dapram. Please download this anower sheet (1/4) and upload it onoe you input your answers to the following questions.
a. (2 points) Compute the expectod time and varlance for each activity. Round your anowers to two decimal places
b. I7 points) Using the expected times determined in part a, compute the earliest start (ES) time, latest start [LS| time, earlest finish (EF) time and latest finish (LF) time for each activity. What is the critical path, the expected project completion thes, and the varlance for the project?
c. (4 points) If the athetic director plans to start the project on lawuary 1, calculate the probability the track and field team will be ready by the schedulod April 1 date (13 weeks) hased on the ofitical activities Should the athietic dinoctor begin planning the track and fleld team before January 1? Please round the probability to four decimals (or two dodmaks if written as a percentagel. For example: 0.1234 or 12.348 .