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:

H1-B Provision

A provision of the U.S. immigration law that allows the annual entry of 65,000 high-skilled workers in “specialty occupations” such as science, R&D, and computer programming to work legally and continuously in the United States for six years.

High-Skilled Workers

High-skilled workers are individuals who have advanced qualifications, training, or expertise, making them capable of performing complex tasks.

Specialty Occupations

Jobs or professions that require the application of specialized knowledge, often necessitating a higher degree of education or experience.

Population Growth

The increase in the number of individuals in a population, often measured by the percentage increase per year.