Mid Final Flashcards
What is Probability?
A number between 0 and 1 that indicates the relative chance or likelihood that an event will happen.
What is an Experiment?
A random process that results in the occurrence of a single outcome among several possible observations or definite occurrences.
What is an Outcome?
An experiment’s particular result.
What is an Event?
A collection of at least one outcome or a set of outcomes of an experiment to which a probability value is assigned.
What is Objective Probability?
The probability an event will occur based on an analysis in which each measure is based on a recorded observation or a long history of collected data.
What is Subjective Probability?
The chance of a specific event occurring, given to an individual based on the basis of whatever available information there is.
What is Classical Probability?
Based on the assumption that an experiment’s outcomes are equally likely.
What is Empirical Probability?
Another way to assign probabilities based on the basis of relative frequencies.
What is the Addition Rule?
If events A and B are mutually exclusive, the probability of one or the other happening equals the sum of their probabilities.
What is the Multiplication Rule?
Emphasizes the probability that two events will occur simultaneously.
What is the Special Rule of Multiplication?
Requires statistical independence of events A and B.
What is Statistical Independence?
Satisfied when the occurrence of one event has no effect on the probability of the occurrence of another event.
What is the General Rule of Multiplication?
Used when the joint probability of events is dependent.
What are Contingency Tables?
Classifies sample observations according to two or more identifiable characteristics.
What is the Product Rule or Multiplication Formula?
States that if there are m ways of doing a thing and n ways of doing another thing, there are m × n ways of doing both.
What is the Permutation Formula?
Used to find the possible number of arrangements when there is only one group of objects.
What is the Combination Formula?
Used when the sequence of the selected objects is unimportant.
What is a Probability Distribution?
Provides the entire range of values that can occur given an experiment and lists all the outcomes of an experiment vis-à-vis the associated probability values with each outcome.
What is a Random Variable?
Any variable, denoted by x, from a given experiment or observation that can take different values in any experiment of chance.
What is a Discrete Random Variable?
A random variable that can only take particular, clearly distinct values.
What is a Continuous Random Variable?
A random variable that can assume, with certain limitations, one of an infinitely large number of values.
What is the Poisson Probability Distribution?
Describes the number of times an event happens during a specific interval.
What is a Continuous Probability Distribution?
Probability that a continuous random variable with an infinite number of possible values will fall within a specific range.
What is a Uniform Probability Distribution?
The most basic distribution for a continuous random variable, defined by minimum and maximum values.