Glen Halford has laid out the major steps involved in the engine assembly process for an experimental automobile. the activities are labeled A through D in the following table, which also shows thier project is shown below. Immediate Time Estimates(weeks) Activity Predecessor(s) Optimistic(a) Most Likely(m) Pessimistic(b) A - 4 6 8 B - 8 10 12 C B 16 18 20 D A,C 8 10 24 Start-----A---------------------------D ------B------------C---------------D a.For each activity,copute the expected completion time and thevariance of the completion time. the expected completion time : t =(a+4m+b)/6 the variance of the completion: v=((b-a)/6)2 A: t=(4+4(6)+8)/6=6 ,v=((8-4)/6)2 B: t=10 , v 2.25 C: t=18 , v=2.25 D: t=12, v=7.11 the critical path: B-C-D the expected completion of this project : 40 weeks the expected variance :vp =2.25+2.25+7.11= 11.61 here, I have a question: What is the probability that the project will take less than 42 weeks? (Show work/ explain reasoning to receive full credit.)
Glen Halford has laid out the major steps involved in the engine assembly process for an experimental automobile. the activities are labeled A through D in the following table, which also shows thier project is shown below.
Immediate Time Estimates(weeks)
Activity Predecessor(s) Optimistic(a) Most Likely(m) Pessimistic(b)
A - 4 6 8
B - 8 10 12
C B 16 18 20
D A,C 8 10 24
Start-----A---------------------------D
------B------------C---------------D
a.For each activity,copute the expected completion time and thevariance of the completion time.
the expected completion time : t =(a+4m+b)/6
the variance of the completion: v=((b-a)/6)2
A: t=(4+4(6)+8)/6=6 ,v=((8-4)/6)2
B: t=10 , v 2.25
C: t=18 , v=2.25
D: t=12, v=7.11
the critical path: B-C-D
the expected completion of this project : 40 weeks
the expected variance :vp =2.25+2.25+7.11= 11.61
here, I have a question: What is the probability that the project will take less than 42 weeks? (Show work/ explain reasoning to receive full credit.)
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