Stats 2 Exam

A probability law used to compute the probability of the union of two events. It is P(a ∙ B) = P(a) + P(B) − P(a ∩ B). For mutually exclusive events, P(a ∩ B) = 0; in this case the addition law reduces to P(a ∙ B) = P(a) + P(B).

• Addition Law

• Bayes Theorem

• Classical Method

• Conditional Probability

Two requirements that restrict the man- ner in which probability assignments can be made: (1) for each experimental outcome Ei we must have 0 ≤ P(Ei) ≤ 1; (2) considering all experimental outcomes, we must have P(E1) + P(E2) + . . . + P(En) = 1.0.

• Multiplication Law

• Combination

• Basic requirements for assigning probabilities

• Mutually Exclusive Events

A method used to compute posterior probabilities.

• Joint Probability

• Bayes’ theorem

• marginal Probability

• Multiplication Law

A method of assigning probabilities that is appropriate when all the experimental outcomes are equally likely.

• Independent Events

• Combination

• Multi-step Experiment

• Classical method

In an experiment we may be interested in determining the number of ways n objects may be selected from among n objects without regard to the order in which the n objects are selected.

• Complement of A

• Conditional Probability

• Combination

• Intersection of A & B

The event consisting of all sample points that are not in a.

• Complement of A

• Event

• Independent Events

• Intersection of A & B

The probability of an event given that another event already occurred. The conditional probability of a given B is P(a ∣ B) = P(a ∩ B)/P(B

• Conditional probability

• Marginal probability

• Joint probability

• Multiplication law

A collection of sample points.

• Experiment

• Independent events

• Event

• Mutually exclusive events

A process that generates well-defined outcomes.

• Combination

• Complement of A

• Event

• Experiment

Two events a and B where P(a ∣ B) = P(a) or P(B ∣ a) = P(B); that is, the events have no influence on each other.

• Multiple-step experiment

• Independent events

• Event

• Experiment