Normal

Introduction: The normal distribution, often referred to as the Gaussian distribution, is a fundamental concept in statistics and probability theory. It plays a crucial role in various fields, from physics and engineering to social sciences and finance. In this article, we will explore the normal distribution in-depth, discussing its characteristics, properties, applications, and the mathematics behind it. The Basics of the Normal Distribution: The normal distribution, represented as the bell-shaped curve, is a continuous probability distribution with a symmetrical shape. It is characterized by two key parameters: the mean (μ) and the standard deviation (σ). The mean [...]

Introduction: The standard normal distribution, also known as the Z-distribution, is a fundamental concept in statistics and probability theory. It serves as a building block for various statistical analyses and hypothesis testing. In this article, we will delve into the standard normal distribution, explaining its key characteristics, applications, and how it simplifies statistical analysis. The Standard Normal Distribution - A Special Case: The standard normal distribution is a specific case of the normal distribution. It has a mean (μ) of 0 and a standard deviation (σ) of 1. This particular form of the normal distribution simplifies the [...]