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Consider the Network Described in the Table Below A Calculate the Expected Duration of Each Activity

question 11

Essay

Consider the network described in the table below.
 Activity  Immediate  Predecessor(s)  Pessimistic  Probable  Optimistic  J 15108 K 987 L  J 1065 M  J 333 N  K, M 951 O  K, M 1074 P  L, N 1083\begin{array} { | c | c | c | c | c | } \hline \text { Activity } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} & \text { Pessimistic } & \text { Probable } & \text { Optimistic } \\\hline \text { J } & - - & 15 & 10 & 8 \\\hline \text { K } & - - & 9 & 8 & 7 \\\hline \text { L } & \text { J } & 10 & 6 & 5 \\\hline \text { M } & \text { J } & 3 & 3 & 3 \\\hline \text { N } & \text { K, M } & 9 & 5 & 1 \\\hline \text { O } & \text { K, M } & 10 & 7 & 4 \\\hline \text { P } & \text { L, N } & 10 & 8 & 3 \\\hline\end{array} a. Calculate the expected duration of each activity.
b. Calculate the expected duration and variance of the critical path.
c. Calculate the probability that the project will be completed in fewer than 30 time units.


Definitions:

Differentiated TMS

Stands for Differentiated Transactive Memory Systems, which involve compartmentalized and specialized knowledge distribution within teams.

Free-riders

Individuals who benefit from the efforts and contributions of a group without offering equivalent participation or input.

Lower Cohesion

A state of reduced unity and agreement within a group, which can impact its effectiveness and performance negatively.

Uneven Communication Problem

This problem occurs when there is an imbalance in the flow of information among team members, leading to misunderstandings or lack of coordination.

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