Binomial and Geometric Distributions - Probability and Statistics

Explore binomial and geometric distributions in probability theory through this comprehensive mathematics lecture. Learn about random variables, probability spaces, and probability distributions. Delve into the binomial distribution B(n,p) and its applications in coin toss scenarios. Discover the concept of probability generating functions and their use in calculating means and variances. Examine the geometric distribution and its properties. Gain insights into probability theory fundamentals and advanced statistical concepts through clear explanations and practical examples.

Introduction
Binomial distribution
Probability generating functions
Means and variances
Calculating mean and variance
Geometric distribution
Geometric series