Consider the Network Presented in the Following Table

question 25

Essay

Consider the network presented in the following table. Calculate
a. All possible paths
b. The critical path
c. The slack available at any non-critical points
d. The minimum project duration
$\begin{array}{|c|c|c|}\hline\text { Task } & \begin{array}{c}\text { Duration } \\\text { (Days) }\end{array} & \begin{array}{c}\text { Immediate } \\\text { Predecessors }\end{array} \\\hline \text { A } & 5 & \text { None } \\\hline \text { B } & 3 & \text { A } \\\hline \text { C } & 4 & \text { A } \\\hline \text { D } & 2 & \text { C } \\\hline \text { E } & 1 & \text { B,D } \\\hline\end{array}$

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Definitions:

Student T-distributed

Pertaining to a probability distribution used in statistics for estimating population parameters when the sample size is small and population variance is unknown.

Population Variances

Measures of the spread or distribution of a set of data points in a population, quantifying the degree to which these points differ from the population mean.

Sample Variance

A measure of the dispersion or spread of a set of data points around their mean, calculated as the sum of the squared deviations from the mean, divided by the number of observations minus one.

Equal-variances Test

A statistical test used to determine if two or more samples have equal variances.