Standardnormalverteilungstabelle
The standard normal distribution, often referred to as the Gaussian distribution or the bell curve, is a specific type of normal distribution that is widely used in statistics and probability theory. It is characterized by its mean (μ) and standard deviation (σ). In the case of the standard normal distribution, the mean is 0 and the standard deviation is 1. This distribution is symmetric and unimodal, with the highest point at the mean.
The standard normal distribution is significant in statistics because many real-life phenomena can be approximated by
The probability density function (PDF) of the standard normal distribution is given by the formula:
where x is a real number, π is the mathematical constant pi, and e is the base of
The cumulative distribution function (CDF) of the standard normal distribution, often denoted as Φ(x), gives the
The standard normal distribution is often used in hypothesis testing, where the null hypothesis is assumed
In summary, the standard normal distribution is a fundamental concept in statistics and probability theory. It