Workshop assignment 1.5: Dutch Cone Test

In this workshop, you will investigate the dependence between two measurements from a Cone Penetration Test (CPT): cone resistance (\(q_c\)) and sleeve friction (\(f_s\)). You will quantify their dependence using covariance and correlation, fit a bivariate Gaussian distribution to the observations, calculate joint probabilities, and explore conditional Gaussian distributions.

You can preview the instructions of this assignment on https://mude.citg.tudelft.nl/workbook-2026/assignments/WS1.5/README.html. After the deadline, this link will include solutions. The preview without solutions will remain available here: https://mude.citg.tudelft.nl/workbook-2026/no_solutions/assignments/WS1.5/README.html. All files of an assignment can be downloaded as .zip-file to your computer.

Before you can start this assignment, read the relevant theory pages in the book.

In this assignment you’ll make exercises on the following topics:

• Bivariate Gaussian distribution with CPT data

• Covariance and correlation

• Bivariate Gaussian distributions

• Joint probability calculations

• Independence and dependence

• Conditional Gaussian distributions

This assignment is due on Wednesday, September 30, 2026.

By Zheng Guan, Delft University of Technology. CC BY 4.0, more info on the Credits page of Workbook.