Chapter 4 Flashcards
(18 cards)
statements about the population from which the data were sampled
statistical inference
is a chance process that leads to well-defined results called outcomes
probability experiment
is the result of a single trial of a probability experiment
outcome (O)
is any collection of outcomes
event (E)
is the set of all possible outcomes
sample space (S)
is a probability based on an educated guess or expert opinion
subjective probability
states that if an experiment is run indefinitely, then the proportion of times that E happens approaches P(E).
Law of Large numbers
the addition rule
P(A or B) = P(A) + P(B) - P(A and B)
if they cannot simultaneously occur
disjoint or mutually exclusive
Two events A and B are this, if the probability of B occuring is not affected by whether or not A occurs.
Independent events
when the outcome or occurrence of event A affects the probability of event B then the events are said to be
dependent events
multiplication rule for independent events
P(A and B) = P(A)P(B)
multiplication rule for dependent events
P(A and B) = P(A)P(B\A)
conditional probability
P(B\A) = P(A and B)/P(A)
in a sequence of n events, in which each event has k1, k2, …, kn possibilities, the total number of possible outcomes is k1 x k2 x … x kn
fundamental counting rule
is an arrangement of n objects in order.
permutation
permutation rule
nPr= n!/(n-r)!
combinations rule
nCr=n!/(n-r)!r!