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Random Variables: Discrete vs Continuous Discrete Random Variable Domain Isolated values on the number line. Description of Chart of outcomes Probability and associated Distribution probabilities. (which values can x 7 8 9 be taken on and P(x) .3 .5 .2 how to assign probability to them) Plot Probability or name: binom(10,.3) Probability Histogram Continuous Random Variable All values in an interval of numbers. Name (if possible) N(100,10) ~N(300,20) X2(6) t(200,20) Probability Density Curve Adding up discrete Area under curve for probabilities of the range of interest interest. P(X≤8) = .3+.5 Mean Standard Deviation Law of Large Numbers Balance point of histogram Cannot be observed in plot Holds Balance point of density curve Only can observed if plot is normal Holds