# BIOL 2060 Lecture Notes - Continuous Or Discrete Variable, Mutual Exclusivity, Venn Diagram

64 views2 pages 30 Jan 2013
School
Department
Course
Professor Probability
5.1 The probability of an event
Random trial: trial or process that has 2 or more possible outcomes whose
occurrences cannot be predicted.
Sample space: list of all possible outcomes of a random trial
Event: any potential subset of the sample space
Probability: proportion of all random trials in which the specified event occurs
when the same random process is repeated over and over again independently
and under the same conditions
Pr[A] =probability of event A
5.2 Venn diagrams
Venn diagram: area represents all possible outcomes of a random trial
5.3 mutually exclusive events
Mutually exclusive: both events cannot occur simultaneously
Pr[A and B]=0
5.4 Probability distribution
Probability distribution: list of the probabilities of all mutually exclusive outcomes
of a random trial
Discrete probability distribution: gives the probability of each possible value or
outcome of a discrete variable
Probability density: allows us to describe the probability of any range of values
(continuous probability distributions) , can find probability of a range by finding
the area under the curve
5.5 either this or that: adding probabilities
If events we are trying to combine are mutually exclusive, we can add
probabilities (either of the 2) OR statements
Probabilities of all mutually exclusive events add to one
Pr[not A]=1-Pr[A]
Pr[A or B]=Pr[A]+Pr[B]-Pr[A and B] .........not mutually exclusive
Unlock document

This preview shows half of the first page of the document.
Unlock all 2 pages and 3 million more documents.

# Get access

\$10 USD/m
Billed \$120 USD annually
Homework Help
Class Notes
Textbook Notes