BIOL 243 Lecture Notes - Lecture 4: Sample Space, Random Variable, Probability Distribution

• School: Queen's University
• Department: Biology
• Course: BIOL 243
• Professor: Christopher G Eckert

Document Summary

Any process with multiple outcomes: results on a particular trial cannot be predicted. Sample space: space of all possible outcomes: all possible balls in bingo, s={1,2,3,4,5,6} Event: any subset of the sample space (specific outcome: focused on particular outcome we are interested in. Example: when flipping a coin, interested in the number of heads. Frequency of an event"s occurrence from repetition of trials. Law of large numbers: states that we will not know what happens on a particular outcome. Variation decreases as the number of trials increase. Variation increases as the number of trials decrease. Variable with a random outcome: outcome of a random trial is a type of random variable. Can be a function of the sample space: rolling a dice is the random trial, while the sample space is all possible numbers you can land on. Random variable will be the number rolled. Can also be the sum of values.