1. Taking soil samples and testing the soil properties takes an engineer an average of 35.5 days per project. The duration varies because of differences in the soil, site terrain, and site location, and the variability of the engineer's productivity. The duration follows a normal distribution with a standard deviation of 1.9 days. When asked how long it will take the engineer to do the work on the next project, the engineer feels optimistic and says "34 days". a. What is the probability that the work will be completed within this duration? b. What is the probability that the work will take longer than this duration? C. What duration should the engineer say to ensure with 95% confidence that the duration will not be exceeded?

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Soil Compaction Test

Soil compaction is the major area of geotechnical engineering. Soil is composed of multiple pores present on its surface, while the soil is mainly composed of gravel, sand, rocks, etc. The arrangement of these rocks and gravels is such that they build up voids (spaces) between them, which allows spaces for the roots of the plants and crops to spread and absorb the required amount of nutrients. Soil compaction is a major problem primarily caused by human activities, micro-organisms, and other multiple factors.