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Probability Distribution (Introduction (In Cartesian Plane (X-Axis (Sample…
Probability Distribution
Introduction
Definition
Mathematical Function
That Provides
The Probability of Occurence of Different Outcomes
In a Experiment
Used To
Describe
Random Phenomena
In Cartesian Plane
X-Axis
Sample Space
Of the Random Variable
Y-Axis
Probability of Events
Types
Discrete
Described by
Probability Mass Functions
Used in Experiments With
Coin Toss
Dice Roll
Qualitative Variable
Continuous
Described by
Probability Density Functions
Used in Experiments With
Quantitative Variable
Temperature
Examples
Normal Distribution
Chi-Squared Distribution
Student's T Distritution
Moments of a Probability Distribution
Kurtosis
"Fatness"
Skewness
Asymmetry
Dispersion
Variance
Population Variance
Formula
"For Discrete Random Variable"
Symbols
Sample Variance
Standard Deviation
Population Standard Deviation
Symbol
Formula
"For Discrete Random Variable"
Sample Standard Deviation
s
Interquartile Range
Coefficient of Variation
Central Tendency
Or Average
Arithmetic Mean
Population Mean
Sample Mean
Median
Sometimes
Mode
Normal Distribution
Or
"Bell Curve"
Gaussian Distribution
Central Limit Theorem
Sample Averages of Random Variables
Converges in Distribution
To Normal
When the Number of Observations is Large
Student's T Distribution
Chi-Squared Distribution
