STAT 205 Lecture Notes - Lecture 8: Binomial Coefficient, Binomial Distribution, Standard Normal Deviate

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Random variable: a variable that assumes numerical values associated with random outcomes of an experiment, with 1 value per sample point. Continuous random variable: random variable which can assume any numerical value within some interval or intervals. Population parameter: a numerical descriptive measure of a population. Because it is based off the observations in a population, its value is almost always unknown. Sample statistic: a numerical descriptive measure of a sample. It is calculated from the observations in the sample. Notation that x is normally distributed, has mean , and standard deviation . (cid:4667)pxq(n-x) x = number of success in n trials p = probability of success on a single trial q = 1-p (probability of failure on a single trial) n = number of trials. Mean, variance, and standard deviation for a binomial random variable; Probability distribution for a standard normal random variable (z): Z describes how many units of away from x is.

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