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Data Regarding the Activities for a Project Are Presented Below

question 53

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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.
 Activity  Optimistic Time  Most Likely Time  Pessimistic Time  A 7914 B 228 C 81216 D 3510 E 468 F 6810 G 234 H 228 I68164614225\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:

Extractable Ore

Refers to the portion of a mineral or natural resource deposit that can be economically and legally extracted or produced at the time of consideration.

Units-Of-Production Method

An approach to depreciation that allocates an asset's cost based on its use, output, or production, rather than passing time.

Amortization

The process of spreading out the cost of an intangible asset over its useful life or paying off a debt over time in regular installments.

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