STAT 3502 Midterm: Midterm_formulae_tables_2018

• School: Carleton University
• Department: Statistics
• Course: STAT 3502
• Professor: Wanchen Lee

Document Summary

, where p (b) > 0 n! n! k(cid:1) = (n k)! Law of total probability: p (a) = pk. Mean: x = e(x) = p xip (xi) Variance 2 = var(x) = e(x 2) (e(x))2 = p x2 i=1 p (a|bi)p (bi) i p (xi) 2. Hypergeometric(n,m,n) pmf x(cid:1)px(1 p)n x, x = 0, 1, . E(x) = np, var(x) = np(1 p) P(x = x) = (cid:0)m x(cid:1)(cid:0)n m n x (cid:1) (cid:0)n n(cid:1) , var(x) = (cid:18) n n mean and variance. N (cid:18) n 1(cid:19) n (cid:18) n (cid:19) r 1 (cid:1)pr(1 p)x, x = 0, 1, 2, . 1 p p (1 p) p2. , x = 0, 1, 2, mean and variance. Poisson approximation to binomial: parameters n and p and n > 50, and np < 5, then x can be considered as having. Tabulated values are p(x k) = p(0) + p(1) + + p(k) n = 10 k.