MAT 3: RANDOM VARIABLE
STATISTICS
- A Collection of methods for planning experiments, obtaining data, and then analyzing, interpreting, and drawing conclusions based on the data
==2 ASPECTS OF PROBABILITY==
- Theoretical
- Applied
PROBABILITY is a field of mathematics that deals with chance.
@@EXPERIMENT@@ is an activity in which the results cannot be predicted with certainty. Each repetition of an experiment is called @@TRIAL@@. \n @@OUTCOME@@ = result of an experiment.
An @@EVENT@@ is a collection of outcomes, and a @@SIMPLE EVENT@@ is an event with only one possible outcome of the experiment.
RANDOM VARIABLE
- A set of possible values from a random experiment.
- A random variable is a real-valued function in which each outcome has a definite probability occurrence.
- Data are the values that the variables can assume.
- Variables whose values are determined by chance are called RANDOM VARIABLES.
DATA
| QUALITATIVE VARIABLES | QUANTITATIVE VARIABLE |
|---|---|
| Words or Codes that represent a class or category. | Numbers that represent an amount or a count. ==Discrete/ Continuous.== |
==2 TYPES OF RANDOM VARIABLES==
- DISCRETE RANDOM VARIABLE - refers to a random variable that takes only a limited or a countable number of values.
- Define as finite or countable variables
- CONTINUOUS RANDOM VARIABLE -deals w/ random variable X which takes any value between certain intervals. Ex. Weight, height, temperature, and Size.
- Defined as infinite or have lots of possible values to consider. It can be quantified to a high level of accuracy.
- Measurable