A Gentleman Farmer Maniacally Works on Academic Projects to Raise

question 5

Multiple Choice

A gentleman farmer maniacally works on academic projects to raise funds for his true passion,farming.He has identified seven tasks and developed three time estimates (all in days) of the next big project on the farm,replacing the fence at the comedy pasture.Tasks,precedence requirements,and time estimates are shown in the table.What is the probability that the project is completed in 31 days? $\begin{array}{|l|l|l|l|l|}\hline \text { Activity } & \begin{array}{l}\text { Optimistic } \\\text { time }\end{array} & \begin{array}{l}\text { Most Likely } \\\text { time }\end{array} & \begin{array}{l}\text { Pessimistic } \\\text { time }\end{array} & \text { Predecessor } \\\hline \text { Corner Posts } & 4 & 5 & 6 & \text { - } \\\hline \text { String Line } & 7 & 8 & 9 & - \\\hline \text { Dig Holes } & 10 & 12 & 14 & \text { Corner Posts } \\\hline \text { Plant Posts } & 11 & 14 & 17 & \text { String Line } \\\hline \text { Weld Top Bar } & 8 & 11 & 14 & \text { String Line } \\\hline & & & & \text { Dig Holes, Plant } \\ \text { Paint } & 9 & 11 & 13 & \text { Posts } \\\hline \text { Tack Wire } & 9 & 12 &16& \text { Weld Top Bar } \\\hline\end{array}$

• A)0.055
• B)0.092
• C)0.125
• D)0.187

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Definitions:

Middle Childhood

A developmental stage that typically covers the period from around 6 to 12 years of age, characterized by significant growth in cognitive, emotional, and social domains.

Industry Versus Inferiority

Erikson’s fourth stage of psychosocial development, in which children must learn the productive skills their culture requires or else face feelings of inferiority.

Global Self-Worth

Refers to a person's overall evaluation or appraisal of their own value or worth as an individual.

Competent

Having the necessary ability, knowledge, or skill to do something successfully.