On November 16th, 2020, Dr. Hu gave a keynote speech at the International Conference on Uncertainty Quantification & Optimisation (UQOP 2020) held as a virtual event. The title of his talk is “Engineering Design under Uncertainty and Probabilistic Failure Prognostics – Methods, Progress, and Challenges.” This talk focused on addressing the uncertainty issues in the reliability-based design of an automotive component and the remaining useful life prediction of lithium-ion batteries.