STAT 2040 Study Guide - Midterm Guide: Linear Map, Random Variable, Poisson Distribution

• School: University of Guelph
• Department: Statistics
• Course: STAT 2040
• Professor: Jeremy Balka

Document Summary

P x2 i (p xi)2 n 1 n. P(xi x)2 n 1 x x. If we transform the data using the linear transformation x = a + bx: X = a + b x, sx = |b|sx, s2 x = b2s2 s x. P (a b) = p (a) + p (b) p (a b). P (a b) = p (a)p (b|a) = p (b)p (a|b). The conditional probability of a, given b has occurred is p (a|b) = Two events a and b are independent if and only if: P (a|b) = p (a), p (b|a) = p (b), p (a b) = p (a)p (b). Expected value and variance of a discrete random variable. E(x) = = p xp(x), 2 = e[(x )2] = p (x )2p(x). Alternative method: e[(x )2] = e(x 2) [e(x)]2. E(a + bx) = a + be(x), 2.