Data Regarding the Activities for a Project Are Presented Below

question 53

Essay

Data regarding the activities for a project are presented below. The times are in weeks. The critical path for this project is A - D - H - I - J - K.
$$\begin{array} { | c | c | c | c | } \hline \text { Activity } & \text { Optimistic Time } & \text { Most Likely Time } & \text { Pessimistic Time } \\\hline \text { A } & 7 & 9 & 14 \\\hline \text { B } & 2 & 2 & 8 \\\hline \text { C } & 8 & 12 & 16 \\\hline \text { D } & 3 & 5 & 10 \\\hline \text { E } & 4 & 6 & 8 \\\hline \text { F } & 6 & 8 & 10 \\\hline \text { G } & 2 & 3 & 4 \\\hline \text { H } & 2 & 2 & 8 \\\hline \text { I} & 6 & 8 & 16 \\\hline \text {J } & 4 & 6 & 14 \\\hline \text {K }&2&2&5\\ \hline\end{array}$$
a.Determine the standard deviation of the critical path.
b.Determine the probability of completing the project in 38 weeks or less.
c.What is the probability of completing the project in 32 weeks or less?

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Definitions:

Traditional IQ Tests

Conventional assessments designed to measure intelligence through a standardized series of tasks or questions, evaluating a range of cognitive abilities.

Gardner

Howard Gardner is known for his theory of multiple intelligences, which suggests that intelligence is not a single, fixed attribute, but rather a range of different cognitive abilities.

Intelligence

The ability to learn, understand, and apply knowledge, solve problems, and adapt to new situations.

Spearman

A method or statistician known for Spearman's rank correlation coefficient, used to measure the strength of a monotonic relationship between two variables.