Learn the mathematical foundations of probability and statistics essential for medical software development in this 12-minute lesson from Yale University. Explore key concepts from an engineering perspective, starting with the distinction between deterministic and stochastic systems. Master discrete and continuous probability density functions (PDFs) and understand their critical applications in medical software, particularly in signal detection and clinical trial design. Discover cumulative distribution functions (CDFs) and survival functions, then delve into multivariate probability distributions. Gain practical insights into how probability theory underpins robust clinical trials and validation studies that ensure reliable medical software performance.