STA 2014C Lecture Notes - Lecture 14: Probability Distribution, Random Variable, Standard Deviation
Document Summary
Section 5. 1: introduction to normal distributions and the standard normal distributions. Properties of a normal distribution: continuous random variable: Has an infinite number of possible values that can be represented by an interval on the number line. Example: the time spent studying can be any number between 0 and 24. (0. 5,1. 2,5. 6: continuous probability distribution: The probability distribution of a continuous random variable: normal distribution: A continuous probability distribution for a random variable, x. The most important continuous probability distribution in statistics. The graph of a normal distribution is called the normal curve: properties: The normal curve is bell-shaped and symmetric about the mean. The total area under the curve is equal to one. The normal curve approaches, but never touches the x-axis as it extends farther and farther away from the mean. Between and + (in the center of the curve), the graph curves downward. The graph curves upward to the left of and to the right of + .
