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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.

Symmetry property Φ(−z) = 1−Φ(z) An Introduction to Basic Statistics and Probability – p. 29/40. Standardization Standardization of a Normal Random Variable

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