A Gentleman Farmer Maniacally Works on Academic Projects to Raise

question 101

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 takes more than 34 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)0.788
• B)0.212
• C)0.945
• D)0.055

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Definitions:

Two Particles

Refers to minor constituents or entities within a larger context, often used in physics to describe subatomic particles.

Atomic Nucleus

The central part of an atom, composed of protons and neutrons, which contains the majority of the atom's mass.

Beta Decay

A radioactive decay process in which an unstable atomic nucleus transforms by emitting a beta particle (electron or positron).