# I need a detailed explanation and assistance to solve this problem:A company decides to plan a project, with activities, precedences and random duration statistics given in the following table: Activity Immediate PredecessorsDurationMinimum(weeks)DurationMode(weeks)DurationMaximum(weeks)Anone259BA168CA3512DB2412EB, C468FB678GD, E126HF, G4616* What method should be used?  Compute the mean and variances for each activity and add them to the table above* Draw the project network and label the arcs with the activity name.* Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks.* Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.

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I need a detailed explanation and assistance to solve this problem:

A company decides to plan a project, with activities, precedences and random duration statistics given in the following table:

 Activity Immediate Predecessors Duration Minimum (weeks) Duration Mode (weeks) Duration Maximum (weeks) A none 2 5 9 B A 1 6 8 C A 3 5 12 D B 2 4 12 E B, C 4 6 8 F B 6 7 8 G D, E 1 2 6 H F, G 4 6 16

* What method should be used?  Compute the mean and variances for each activity and add them to the table above

* Draw the project network and label the arcs with the activity name.

* Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks.

* Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.

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Step 1

Drawing the project network as shown in the diagram using AOA convention we represent the activities and their timings.

Step 2

The mean time of the activities are computed based on the formula

te = (to + 4tm + tp ) / 6

where to = optimistic time (minimum), tm = most likely time (mode), tp = pessimistic time (maximum)

The variance of the time of the activities are computed based on the formula

Variance = (tp –to)2/36

So compl...

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