Application of Statistics in Physics: Difference between revisions
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===Probability=== | ===Probability=== | ||
Probability is the numerical description of the likelihood of an event occurring from a sample space written as a value between 0 and 1. This event is just the outcome of executing an experiment, and the sample space is just the whole set of outcomes possible from this experiment. | Probability is the numerical description of the likelihood of an event occurring from a sample space written as a value between 0 and 1. This event is just the outcome of executing an experiment, and the sample space is just the whole set of outcomes possible from this experiment. | ||
In general, the probability is defined as | In general, the probability is defined as | ||
<math>P(A)=\frac{\text{# Number of times A occurs}}{\text{# Total number of outcomes}} </math> | <math>P(A)=\frac{\text{# Number of times A occurs}}{\text{# Total number of outcomes}} </math> | ||
For example, for a sample space <math>S=\{A,B,C,A,B,A\}</math>, selecting | |||
===Random Variables=== | ===Random Variables=== | ||
Revision as of 13:29, 22 April 2022
Claimed by Edwin Solis (April 16th, Spring 2022)
With the development of Quantum Mechanics and Statistical Mechanics, the subject of Statistics has become quintessential for understanding the foundation of these physical theories.
Basics
Probability
Probability is the numerical description of the likelihood of an event occurring from a sample space written as a value between 0 and 1. This event is just the outcome of executing an experiment, and the sample space is just the whole set of outcomes possible from this experiment. In general, the probability is defined as
[math]\displaystyle{ P(A)=\frac{\text{# Number of times A occurs}}{\text{# Total number of outcomes}} }[/math]
For example, for a sample space [math]\displaystyle{ S=\{A,B,C,A,B,A\} }[/math], selecting