Define random variables and provide examples of discrete and continuous random variables.

Random Variables: Random variables are a fundamental concept in probability theory and statistics. They are used to model and quantify uncertainty in various experiments and real-world scenarios. A random variable is a variable that can take on different values based on the outcomes of a random experiment or process. These values are typically real numbers, and random variables serve as a bridge between the probabilistic nature of events and quantitative analysis. There are two main types of random variables: discrete and continuous. 1. Discrete Random Variables: Discrete random variables are associated with experiments or processes where the set of possible outcomes is countable or finite. This means that the random variable can take on distinct, separate values with gaps in between. Examples of discrete random variables include: - Number of Heads in Coin Flips: When flipping a fair coin multiple times, the random variable "X" can represent the n....