2. After the soil samples are taken and the soil properties determined, the engineer must design the foundation. It typically takes the engineer 4.75 days to design a foundation with a standard deviation of 0.83 days. Use this information and the information provided in Problem 2 to answer the following questions: a. What is the probability of completing all the work (field sampling, testing, and design) within 43.5 days? b. The engineer completes the field sampling and testing in 36 days. What duration of the design work should be planned to ensure with 85% confidence that all work will be completed within 43.5 days?

Fig: 1