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19 Cards in this Set

  • Front
  • Back

Random

an event in which all outcomes are equally likely

Probability

The chance that something will happen

probability model

A sample space and a way of showing the probabilities of the events

sample space

the set of all possible outcomes

event

any outcome or a set of outcomes of a random phenomenon

theoretical probability

Likelihood that an event will happen

Experimental probability

Observed probability

independence

Two events are independent if knowing that one occurs does not change the probability that the other occurs

statistical inference

drawing conclusions from data that are subject to random variation

simulation

The imitation of chance behavior


(based on a model that accurately reflects the phenomenon under consideration)

multiplication principal

If you can do one task n1 number of ways and a second task n2 number of ways, then both tasks can be done in n1 x n2 number of ways

disjoint events

events have no outcomes in common (the probability that one OR the other occurs is the sum of their individual probabilities)

complement

the complement of any event A is the event that A does not occur, written as Ac (the probability that an event does not occur is 1 minus the probability that the event does occur)

union

A union B: the set of all outcomes that are either in A or in B

intersection

A intersect B: the set of all outcomes that are in both A and B

empty set

A set with no outcomes

multiplication rule for independent events

P(A and B) = P(A) x P(B)

Can disjoint events be independent (and use the multiplication rule)?

No

If two events are independent, are their complements independent?

Yes. If two events A and B are independent, then their complements Ac and Bc are also independent, and Ac is independent of B