##### School: University of Illinois at Chicago

##### Department: Industrial Engineering

##### Course: Probability Stat for Engineer

##### Professor: Scott Reckinger

##### Term: Fall 2018

##### Tags: Math and Statistics

##### Name: IE 342 notes

##### Description: These notes cover topics discussed in class during week 3 ranging from probability, venn diagrams, and rules of probability, which eventually leads into counting through Permutations and Combinations.

##### Uploaded: 09/17/2018

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Unformatted text preview: IE 342 WEEK 3 NOTES pala 118 and B: Recap: Fog mutually P(AUB) = exclusive events P(A) + P(B). A, A2, => For mutually exclusive events - . Ar PAJA U... VAR = PA) + P(A) + ... + P(AA). => Portion of sample space S exclusive events that s ---Am - S => PCA, UAZU... VA m utually! ie ALU AU - 1. =P(S) Example Playing cards A. 3 odd numbers Ag = even Ag - face conds LAW OF TOTAL PROBABILITY: P(G) = P(en A) + Plan A2)+---+ P(BNA) for any postion AL, A LA where On A Ona ONAS -> hearts and odd numbers > hearts and even > hects and face cardsRecolli A P(B) and Old form o posticipation, so PCBA) + P(BIA) -> IF P AS A ore the individual Butcomes of then we have a position using the atomic events. (ie cannor be bmoke down for thes, Lers (evisit probability of an event in terms of outcomes if experiment host N equally likely outcomes (sample space) and on them oo on event then ple) En A 3 . sample Space: Eg! Die SW Then PCSO -> Even oud 2 , ,b's {1,2,3,4,5,67 same COUNTING; Here the number of outcomes be more complicated. can Multiplication rule: A sequence of K operations with .. operhon 2 >Di Woys opulation 2 -> na WOYSoperation opratica w Therefore it has a total of 0* 2*- - - * outcomes. A a coin ( flie, 2) die soll and (nb) coord daw (3:52) Seuen ob the b numbers have 52 coords. N = n . 2 . My preferences are What is probability my prefemences ? Heads that OR I Ace of hearts get one of