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

question 18

Essay

Consider the network described in the table below.
 Activity  Immediate  Predecessor(s)  Pessimistic  Probable  Optimistic J15108K987LJ1065MJ333NK,M951OK,M1074PL,N1083\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 \mathrm{J} & -- & 15 & 10 & 8 \\\hline \mathrm{K} & -- & 9 & 8 & 7 \\\hline \mathrm{L} & \mathrm{J} & 10 & 6 & 5 \\\hline \mathrm{M} & \mathrm{J} & 3 & 3 & 3 \\\hline \mathrm{N} & \mathrm{K}, \mathrm{M} & 9 & 5 & 1 \\\hline \mathrm{O} & \mathrm{K}, \mathrm{M} & 10 & 7 & 4 \\\hline \mathrm{P} & \mathrm{L}, \mathrm{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:

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