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Stats Chapter 14-15

Vocabulary from Chapters 14 and 15

AB
Probability ModelA function that associates a probability P with each possible outcome for a discrete random variable X, or a interval of possible values for a continuous random variable.
Disjoint eventsEvents that share no outcomes. Knowing that one event has occurred tells us that another event cannot have occurred.
DependenceWhen knowing whether one event has occurred does alters the probability that another event has occurred.
Expected valueThe theoretical long run average value found my adding up the products of all possible outcomes and the probability of the outcomes. Acts as the center of the model.
VarianceMeasure the deviations of outcomes from the expected value by adding up the square of the difference of an outcome from the expected value, and then multiply each square by the probability of the outcome.
Random VariableHas one of several possible values depending on the outcome of a random event.
Law of Large NumbersThe long-run relative frequency of repeated independent events settles down to the true relative frequency as the number of trials increases.
IndependenceWhen knowing whether one event has occurred does not change the probability that another event has occurred.
EventA collection of outcomes.
Standard deviationIs the square root of the variance.
OutcomeThe value measured, observed, or reported for a trial.
Sample spaceThe collection of all possible outcome values.
Disjoint eventswo events that have no outcomes in common
Discrete Random VariableA random variable that has a countable number of possible outco
TrialA single attempt or realization of a random phenomenon
Continuous Random VariableA random variable that can take on an infinite number of possible outcomes, possibly within a range of specified values.
ProbabilityA number between 0 and 1 that reports the likelihood of an event's occurrence.


Teacher
MathHW.net
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