Statistical Sciences 2141A/B Study Guide - Midterm Guide: Conditional Probability, Ibm Aix

• School: Western University
• Department: Statistical Sciences
• Course: Statistical Sciences 2141A/B
• Professor: James Adcock

Document Summary

Statistics 2143b midterm exam formula page. P(a b) = p(a) + p(b) p(a(cid:1)b) P(b) = p(a (cid:1) b) + p(a / (cid:1) b) = p(a) p(b | a) + p(a/ ) p(b | a/ ) P(a (cid:1) b) = p(a) p(b|a) = p(b) p(a|b) Mean (cid:2)x = e[x] = (cid:2) x p(x = x) = (cid:3) x f(x) dx. 2 = var(x) = e[x 2] e[x] 2 = (cid:2) x2 p(x = x) (cid:2)x. = (cid:4)(x (cid:2)x)2 p(x = x) = (cid:3) (x (cid:2)x)2 f(x) dx. Normal p x (1 p) n x (cid:6) (cid:4)(cid:4) (cid:5) n x (cid:3) (cid:1)(cid:1) (cid:2) e x . 1 ab (cid:2) e (cid:2) x. X ~ n( (cid:2) , (cid:3) 2 ) F (cid:6) (cid:4)(cid:4) (cid:5) x (cid:3) (cid:1)(cid:1) (cid:2) E[x] = (cid:2) np (cid:1) a + b. 1 / (cid:2)2 (cid:3) (cid:4)2 (cid:5) 2 n (cid:4)(0. 5) = (cid:4)(k) = (k 1)! E[ax + b] = a e[x] + b.