Univariate and Standard Univariate Distributions for IIT JAM Preparation

Mastering probability distributions is a core requirement for passing rigorous mathematics and statistics examinations. This text-only course provides a clear, structured pathway through univariate and standard univariate distributions, translating complex mathematical theory into accessible, step-by-step written explanations. You will transition from basic probability concepts to confidently solving exam-level distribution problems. Through comprehensive text lessons and worked examples, you will build a strong intuitive and analytical foundation in probability theory. Learn to identify, manipulate, and apply both discrete and continuous distributions to solve challenging academic problems. What you will learn: Understand the foundational theory of random variables, cumulative distribution functions, and probability density functions; Master key discrete distributions including Binomial, Poisson, Geometric, and Hypergeometric models; Analyze continuous distributions such as Normal, Exponential, Beta, and Gamma distributions; Calculate mathematical expectation, variance, moments, and moment generating functions with precision; Apply transformation techniques to find the distribution of functions of random variables; Practice solving standard exam-style problems using systematic, written step-by-step methodologies. This course begins with essential terminology, foundational probability concepts, and basic integration and differentiation techniques before moving into standard distribution models and their properties. Designed specifically for beginners and aspiring exam candidates, this course requires only a basic background in high school algebra and calculus. Begin your journey toward mastering probability theory and exam readiness today.