STAT 3460 Lecture Notes - Lecture 6: Probability Plot, Linear Combination, Quartile
14 Mar 2016
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Linear funcions of normal random variables: let x ~ n( , 2), and let a 0 and b be constants ax + b ~ n(a + b, a2 2) Linear combinaions of independent normal random variables: let x1, x2, ,xn be independent and normally distributed with means 1, 2, , and variances 1. 2: let c1, c2, , cn be a linear combinaion. c1x1 + c2x2 + + cnxn ~ 2 2: if x1, , xn are random samples from any populaion with mean and variance 2. Let x1, x2, , xn be a simple random sample from a populaion with mean and variance 2. o. X = x1 + x2 + + xn n: sn = x1 + x2 + + xn, if n is suiciently large. Normal approximaion to the binomial: let x have a bin(n, p) distribuion. For large n, x has an approximate n(np, np(1 p))
