STAT 1100 Chapter Notes - Chapter 5: Standard Deviation, Weighted Arithmetic Mean, Complementary Event
Document Summary
Our goal is formalize the notion of a random experiment with numeric outcomes. A random variable x is a function from a sample space to a set of numbers denoted by x: Random variables are denoted by capital letters such as. On the other hand, the elements of the sample space are denoted by the letter omega . At some books people make this relationship explicit by writing x( ), but we will not overload our notation. The type of numeric set x divides the collections of ran- dom variables in two categories: discrete random variables: these are random vari- ables that map elements on the sample space with a. A random variable induces a probability distribution through . In other words, the random nature of our ex- periments will give origin to a probability distribution for the numbers represented by the random variable. A discrete probability distribution is depicted using an histogram-type of graph.
