STAT 3502 Final: Final_formulae_table_2018_Falls

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, x = max(0, n n + m ), 1, . Poisson( ) 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) , x = 0, 1, 2, mean and variance. , a x b f (x) = E(x) = (a + b)/2, var(x) = (b a)2/12. E(x) = , var(x) = 2 f (x) = e x, x 0. E(x) = 1/ , var(x) = 1/ 2 f (x) = 1 x 1e x/ , x 0 mean and variance. Formulae i=1 p (a|bi)p (bi: law of total probability: p (a) = pk, bayes" formula: p (bj|a) , x = e(x) = p xip(xi), 2. X = var(x) = e(x x)2 = e(x 2) 2 and x = p 2.

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