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Kapitel 6

Probability Distributions

Wahrscheinlichkeit in der Statistik
Wahrscheinlichkeit in der Statistik
Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when ...
Zufallsvariable
Zufallsvariable
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability ...
Wahrscheinlichkeitsverteilungen
Wahrscheinlichkeitsverteilungen
 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a ...
Wahrscheinlichkeits-Histogramme
Wahrscheinlichkeits-Histogramme
A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of ...
Ungewöhnliche Ergebnisse
Ungewöhnliche Ergebnisse
Unusual results are those that have a very low chance of occurring. Unusual results can be identified using probabilities and the range rule of thumb. In ...
Erwartungswert
Erwartungswert
The expected value is known as the "long-term" average or mean. This means that over the long term of experimenting over and over, you would ...
Binomiale Wahrscheinlichkeitsverteilung
Binomiale Wahrscheinlichkeitsverteilung
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes. The ...
Poisson-Wahrscheinlichkeitsverteilung
Poisson-Wahrscheinlichkeitsverteilung
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of ...
Gleichverteilung
Gleichverteilung
The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular. Two ...
Normalverteilung
Normalverteilung
The normal, a continuous distribution, is the most important of all the distributions. Its graph is a bell-shaped symmetrical curve, which is observed in ...
<em>z-Werte</em> und Fläche unter der Kurve
z-Werte und Fläche unter der Kurve
z scores are the standardized values obtained after converting a normal distribution into a standard normal distribution. A z score is measured in units ...
Anwendungen der Normalverteilung
Anwendungen der Normalverteilung
The normal distribution is a useful statistical tool. One of its practical applications is determining the door height after considering the normal ...
Verteilung der Stichproben
Verteilung der Stichproben
Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each ...
Zentraler Grenzwertsatz
Zentraler Grenzwertsatz
The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample ...
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