Please provide the CPM result for each of the following metrics: E[S_{end}] = E[ES_{D}] = E[EF_{D}] =

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Stan's No Touch Car Wash is looking to implement a new ERP system. Colin Alexander has been developing a project plan and has identified the following tasks, precedence relations, and normal task durations.

Tasks Predecessors mu_t sigma_t
Start   0 0
A start 25 12
B A 17 14.11
C A 45 46.35
D A 32 15.36
E A 37 10.36
F C,D 10 11.8
G B,F 41 15.17
H E,G 44 44.44
end H 0 0

Colin has studied project management at the University of Portland and knows that the starting and ending time of any task may be determined from the information in the table using the critical path method.

Assume the following notation when answering the questions below:

Metric Description
E[ES_i] Expected early start time for task i
E[EF_i] Expected early finish time for task i
E[LS_i] Expected late start time for task i
E[LF_i] Expected late finish time for task i
Pr(S_i =< t) Probability the start time for task I =< t
Pr(F_i =< t) Probability the finish time for task I =< t
Pr(S_i => t) Probability the start time for task I => t
Pr(F_i => t) Probability the finish time for task I => t

Please provide the CPM result for each of the following metrics:

E[S_{end}] =

E[ES_{D}] =

E[EF_{D}] =

Pr(S_{G} \geq 168) =

Pr(F_{end} \geq 124) =

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