Chapter 5: A Survey of Probability Concepts Flashcards
inferential statistics/statistical inference
computing the chance that something will occur in the future
probability
a value between zero and one, inclusive, describing the relative possibility an event will occur
experiment
a PROCESS that leads to the occurrence of one and only one of several possible results
outcome
a particular result of an experiment
event
a collection of one or more outcomes of an event
classical probability
probability of an event = number of favorable outcomes / total number of possible outcomes
mutually exclusive
the occurrence of one event means that none of the other events can occur ie: male or female, acceptable or unacceptable
collectively exhaustive
at least one of the events must occur when an experiment is conducted
empirical probability/relative frequency
the probability of an event happening is the fraction of the time similar events happened in the past. number of times the event occurs/ total number of observations
law of large numbers
ober a large number of trials, the empirical probability of an event will approach its true probability
subjective probability
the likelihood (probability) of a particular event happening that is assigned by an individual based on whatever information is available
special rule of addition
P(A or B) = P(A) + P(B)
complement rule
P(A) = 1 - P(-A)
joint probability
a probability that measures the likelihood two or more events will happen concurrently
general rule of addition
P(A or B) = P(A) + P(B) - P(A and B)
independence
the occurrence of one event has no effect on the probability of the occurrence of another event
special rule of multiplication
P(A and B) = P(A)P(B)
conditional probability
the probability of a particular event occurring, give that another event has occurred
contingency table
a table used to classify sample obsercations according to two or more identifiable categories or classes
multiplication formula
if there are m ways of doing one thing and n ways of doing another, there are m x n ways of doing both. total number of outcomes = (m)(n)
permutation
any arrangement of r objects selected from a single group of n possible objects
permutation formula
P = n! / (n-r)!
combination formula
C = n! / r! (n-r)!