Year 1 Prob Flashcards
def sample space, sample point, evento
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operations of set theory
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disjoiint, pairwise
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laws of set theory (comm)
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collections (de morgan)
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event space, satisfies
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prob measure and axoims
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calculus of probabilities
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finite additivity of disjoint events
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probswe between 0, 1
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other probabloity results (partition rule etc)
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specify porobablities
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classical interpretation
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equally likely
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examples
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multiplication principle
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combination, oermutation
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sampling without replacement proof
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sampling with replacement
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def conditional prob
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multiplication law
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partition
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law of total probablility
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bayes theorem
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independence
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indep, complem
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def random variable
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def discrete rv
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def continuos rc
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induced prob
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probablity mass function
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cumulative distribution function
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properties of dcfs
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properties of intervals
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defining cdfs
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Bernoulli trial
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bernoulli distribution
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binomial distribution
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eometric distribution
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Poisson distribuitions
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bivariate distributions
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joint pmf
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marginal pmf
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indeoendence of drv
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alternative def independence
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sums of ind drv
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uniform distribtution
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exponential distribution
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normal distribution
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probabliilty density function
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density of uniform
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density exponential
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bivariate dsist(con)
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JOINT CDF CONTINN
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joiint pdf contin
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independence crv
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alternative crv ind
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expectation crv
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expectation drv
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non negatrve rv exp
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unconscious statistician
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ex constant is constant
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linearity of expectation
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modulus over modulus expectation
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expected value product of irv
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variance def
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variance positive
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calculating the variance
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variance of a constant is 0
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variance of a linear function
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covariance
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correlation
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calculating the3 covaraiance
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independence 0 cov
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variance of a sum of rv
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sum of n rv
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sum on ind rv
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Covariance of linear functions of rvs
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Law of large nUMBERS
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