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An Introduction to Basic Statistics and Probability

An Introduction to Basic Statisticsand ProbabilityShenek HeywardNCSUAn Introduction to Basic Statistics and Probability p. 1/40 OutlineBasic Probability conceptsConditional probabilityDiscrete Random Variables and Probability DistributionsContinuous Random Variables and ProbabilityDistributionsSampling Distribution of the Sample MeanCentral Limit TheoremAn Introduction to Basic Statistics and Probability p. 2/40 Idea of ProbabilityChance behavior is unpredictable in the short run, buthas a regular and predictable pattern in the long any outcome of a randomphenomenom is the proportion of times the outcomewould occur in a very long series of Introduction to Basic Statistics and Probability p. 3/40 TerminologySample Space- the set of all possible outcomes of arandom phenomenonEvent- any set of outcomes of interestProbabilityof an event - the relative frequency of thisset of outcomes over an infinite number of trialsPr(A) is the Probability of event AAn Introduction to Basic Statistics and Probability p.

countable infinite possible values Example: the number of days that it rains yearly Continuous - a random variable that has an (continuous) interval for its set of possible values Example: amount of preparation time for the SAT An Introduction to Basic Statistics and Probability – p. 10/40

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