STAT-2300 Lecture Notes - Lecture 5: Sample Space, Venn Diagram, Mutual Exclusivity

• School: Clemson University
• Department: Experimental Statistics
• Course: STAT-2300
• Professor: Christy Brown

Document Summary

Try to put a number on how likely something is. Random phenomena: the many things in your life in which the outcome is uncertain. Probability rules and counting techniques (section 5. 1 and 5. 5) Experiment: an act or process of observation with uncertain results that can be repeated. Results are not known ahead of time. Ex. observing whether a patient will develop side effects to a new drug. Proportion of times something happens is very random and variable in short run. Probability of a specific outcome happening = proportion of times that the outcome would occur in long run of observations. Weather forecaster report 70% chance of rain. Meaning = the proportion of days in which it rains is . 70. Independent: if outcome of any one trial is not affected by outcome of any other trial. Case for different trials of random experiments. Probability model: description of a probability experiment. Sample space: the set of all possible outcomes.