A civil engineering firm is tasked with two distinct projects. Project A involves mapping a 5-hectare plot for a new residential subdivision. Project B involves establishing a geodetic control network spanning a distance of 800 kilometers across a state for a new high-speed rail corridor.

Identify the classification of surveying required for each project and justify the choice based on the principles of surveying.

During a traverse survey, a team encounters the following issues:

Classify each issue as a Mistake, a Systematic Error, or an Accidental (Random) Error.

The following distance measurements for a baseline were recorded by a survey party: 100.02 m, 100.05 m, 100.04 m, 100.01 m, and 100.03 m.

Calculate the Most Probable Value (MPV), the Probable Error of a single observation ($PE_s$), and the Probable Error of the Mean ($PE_m$).

In an effort to determine the area of a rectangular lot, a surveyor measures the length and width. The total error in measuring the perimeter of the lot was calculated to be $\pm 0.15 \text{ m}$. If the true perimeter is exactly $600 \text{ m}$, calculate the relative precision of the survey. Express the answer as a fraction with a numerator of 1.

Three sides of a triangular land parcel were measured with the following probable errors:

Determine the total perimeter and its corresponding probable error.

A rectangular plot of land has a measured length of $200.00 \text{ m} \pm 0.05 \text{ m}$ and a measured width of $150.00 \text{ m} \pm 0.04 \text{ m}$. Determine the most probable value of the area of the plot and the probable error of this computed area.

Four survey parties measured the same distance with the following results and assigned weights based on the conditions and number of observations:

Determine the Most Probable Value of the measured distance.