Random Variables and Probability Distribution Flashcards
The source of relevant information or data such as individual, entity, or population unit.
Element
The characteristic or property of the elements.
Variable
A variable being measured to produce numerical observations associated with the random outcomes of a chance experiment.
Random Variable
Typically named with capital letters (X, Y, Z, etc.)
Random Variable
Random variables where the observed numerical values are produced by counting and assumes whole numbers only.
Discrete Random Variables
Random variables where observed numerical values are results of measuring and may take on any numbers contained within any numerical intervals.
Continuous Random Variables
The probability values for all its possible outcomes are greater than or equal to zero [𝑃(𝑥) ≥ 0].
Discrete Probability Distribution
What is the sum of the probability values associated with the corresponding outcome?
It is equal to 1
[∑𝑃(𝑥) = 1].
An equation that defines the relationship between an outcome and its associated probability.
Probability Mass Function
It is the quotient of the frequency of occurrences divided by the total number of occurrences.
Probability Value
Steps to Represent a Distribution Graphically Using a graph
- Assign the probability values on the vertical grid.
- Assign the discrete random variable (x) on the horizontal grid.
- Draw a rectangular bar on each section on the horizontal grid with length corresponds to its probability value.
It is denoted by E(x).
Expected Value
It is a parameter that measures the average squared distance or deviation of each item in the data from the mean.
Population Variance
Used for more substantial interpretation and decision-making.
Coefficient of Variance
The percentage variability of the mean.
Coefficient of Variation
