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# UIC - IE 342 - Class Notes - Week 7

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UIC - IE 342 - Class Notes - Week 7

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##### Description: Thes notes cover important concepts like Discrete Probability distribution, Binomial distribution, Binomial Random Variable, and also the mean and variance of binomial list. There are detailed explanations along with examples to help make the concept easy to understand.
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Unformatted text preview: Week NOTES folostao DECRETE PROBABILITY DISTRIBUTIONS: Diacere nos omale si Kosto caually disabotion: Roodete likely outcomes Pimp Cesk) - *1 = P(x2x) otobao. is a _is_ pomameres mondom veable BINOMIAL DISTRIBUTION pencible.osomes Bernoulli trials - It has two labeled success o s fokale Besicou i Process cxperiment with A) (2) (3) (4) Separed trials each trial is a Bernoulli_trial prdloobility Success Sp2 hemoing all trials independent UP *Asorapling with replacement may be a Bethull process but without placement COCOT be as puoles SOUPEx: A meaus select s hows in a jelly bean Rectory in defective beans. Randomly 3 beans E X i number of dekechive beans out =D Benroulliecocess? 12) = "success",n ="failure 13). PEDI for each bean (2) each bean does not onkeer chance ar 5 oC N. the mess. Outcome x Plouhcorne) 0 0 NOD 2 9) (0) (09) 10.a) (09) (09) (0.1) (0.1) (0-2) ? (19)(0) (:0) = (0.1) (09) (0.9)(0-1) (0.1) (0.4)(0.9) 10.0 (0.9) (09) = (0.412 (0:1) (0.)(0 ) - (09) (0,2 (0 ) (0) (09) (0) (0.12 (04) (0.1) (0:1) = (0:4) 3 2 0 DNS DDN "DDD 2 3 Bied post [ie PCX -x] * P(X=0) = 1. (0.1(og* PC3-1) = 3.60.1) (0.93? * P(x2) = 3. (0.13(0.9) * P ( x-3) -1.co.rs (0.9) p(x-) = Cap L-P32T -P) 3-5

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