ADM 2303 Lecture Notes - Lecture 5: Standard Deviation, Geometric Probability, Random Variable
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14 Oct 2015
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N(cid:88) i=1 n(cid:88) n(cid:88) i=1 i p(x = xi) 2 x2. The poisson probability distribution (if approx"n of binomial, = np): E(x) = , v ar(x) = , e = 2. 718. P(x = x) = (1 p)x 1p for x = 1, 2, X n ( , ) f (x) = N (0, 1) p(z z) = using normal table. X uniform(a, b) f (x) = Subtraction rule (let ac be compliment of a, i. e. , not a): V ar(x) = 2 = (xi )2p(x = xi) Addition rule for two mutually exclusive events (where connotes or aka union): P(a b) = p(a) + p(b) i=1. Addition rule for two not mutually exclusive events: P(a b) = p(a) + p(b) p(a b) Multiplication rule for two independent events (where connotes and aka intersection): P(a1 a2 an) = p(a1) p(a2) p(an) Partition rule: for a partition b1, b2, , bk : k(cid:88) k(cid:88) Adding a constant c to random variable x: