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1. Random Variables and Distributions

A random variable is a numerical description of the outcome of a statistical experiment. The probability distribution for a random variable describes how the probabilities are distributed over the values of the random variable

2. Data Analysis

3. Statistical Inference

Data analysis is a process of cleaning, transforming, and modeling data to discover useful information for business decision making.

Statistical inference is the process in which inferences about a population are made based on certain "statistics" calculated from a sample of data drawn from that population.

4. Regression Theory and Applications

Regression analysis is a statistical method that allows you to examine the relationship between two or more variables of interest. While there are many types of regression analysis, at their core they all examine the influence of one or more independent variables on a dependent variable.

5. Bayesian Statistics

Bayesian statistics is a theory in the field of statistics for describing uncertainty using the mathematical language of probability where probability expresses a degree of belief in an event.