QTM 100 Lecture 8: Probability Distributions and Random Variables

• School: Emory University
• Department: Quantitative Theory & Methods
• Course: QTM 100
• Professor: Jacobson Jeremy

Document Summary

Disjoint events are always complementary (probabilities sum to 1) 6 sided die one event is a 1 and the other is a 3. If ( ) = () (), but a and b cannot happen at the same time, ( ) = 0 but p(a) 0 and p(b) 0. Random variable: a variable that is a random process caused by random sampling. A probability distribution is associated with random variables. The probability of a discrete random variable is viewed in a table. The probability of a continuous random variable is viewed as a curve on a xy- plane. Probability distribution table: a table used to summarize the probability associated with each possible value (outcome) of a discrete random variable. The random variable x is the number of runs scored per game, which can take 6 values (0, Each probability must be between 0 and 1. The sum of all probabilities must be 1.