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.
$$\begin{array} { | c | c | c | c | c | } \hline \text { Activity } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} & \text { Pessimistic } & \text { Probable } & \text { Optimistic } \\\hline \text { J } & - - & 15 & 10 & 8 \\\hline \text { K } & - - & 9 & 8 & 7 \\\hline \text { L } & \text { J } & 10 & 6 & 5 \\\hline \text { M } & \text { J } & 3 & 3 & 3 \\\hline \text { N } & \text { K, M } & 9 & 5 & 1 \\\hline \text { O } & \text { K, M } & 10 & 7 & 4 \\\hline \text { P } & \text { L, N } & 10 & 8 & 3 \\\hline\end{array}$$ 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.

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Definitions:

Depression

A mental health disorder marked by persistent sadness, loss of interest in activities, and a range of physical and cognitive symptoms.

Side Effects

Unintended reactions or responses to a medication or treatment, which can range from mild to severe and may affect how the treatment is administered.

Electroconvulsive Therapy

A medical treatment involving the application of brief electrical currents to the brain, used primarily to treat severe depressive and psychotic disorders.

Obsessive-compulsive Disorder

A mental disorder characterized by recurrent, unwanted thoughts (obsessions) and/or repetitive behaviors (compulsions).