Difference between revisions of "Distributions"

(General Symbols/Definitions)
(General Symbols/Definitions)
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Distributions give a general description of what the probabilities and events look like. The sample space, which is represented like <math>\Omega</math>, represents the set of all possible outcomes. For example, <math>\Omega =</math> {<math>1, 2, 3, 4, 5, 6</math>} would represent the sample space of rolling a die.
 
Distributions give a general description of what the probabilities and events look like. The sample space, which is represented like <math>\Omega</math>, represents the set of all possible outcomes. For example, <math>\Omega =</math> {<math>1, 2, 3, 4, 5, 6</math>} would represent the sample space of rolling a die.
  
The difference between Discrete and Continuous, is that discrete has a finite possible number of outcomes, and continuous
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The difference between Discrete and Continuous, is that discrete has a finite possible number of outcomes, and continuous has an infinite number of outcomes, like measuring the weight of block of cheese, it could be <math>591.12478</math> or it could be <math>392.057721566490153286060651209008240243</math>.

Revision as of 19:57, 8 July 2024

Probability distribution is a function that gives the outcome of an event, to their corresponding probabilities. For example, in rolling a fair dice, with $6$ sides, $P(2)$ would be $\frac {1}{2}$.

General Symbols/Definitions

Distributions give a general description of what the probabilities and events look like. The sample space, which is represented like $\Omega$, represents the set of all possible outcomes. For example, $\Omega =$ {$1, 2, 3, 4, 5, 6$} would represent the sample space of rolling a die.

The difference between Discrete and Continuous, is that discrete has a finite possible number of outcomes, and continuous has an infinite number of outcomes, like measuring the weight of block of cheese, it could be $591.12478$ or it could be $392.057721566490153286060651209008240243$.