Question

a) Explain how set theory relates to probability theory. b) Discuss Kolomogrov's contributions to probability theory. c) What are the axioms of probability and why are they important (in your own words)? Also describe the meaning of axiom.

Answer 1

c) Arioso pobotina Solstico: some items (elements). Probohibids mealy Lines language Sets Pobowiady Meoty 19 defined! colulodeel do Ghene set is colectóo od so cleyere we con simply 19 all element in cul bracket while poobobrany were 19 is a value bedw... 6 Bow likely % ! 56ch botus - everst is Mone over peobability measure is definedd o dielo Sample Spoca Boving conclusivos 1) the poobobility o r every is quales are O equal 300 P(E) 20 2) he probabilidy by sompile Space is on PLO) : 1 3) 1 A 2 AN... be everytis S ay one mutually exclusive onen PCAICORU Fg. Ufin )=P(A) + Plas). 10(an). de PCOR). I PRED .PC) = 0 • OLMALI pa A:). IP(A) Boscally Axiom so Slotment and moremo dicions assume to be pa true en t asumo ya serio y cerradical Opera will give digtework logic recsems being provable AN Kolmogooov time is the founder of modern peobability theory houng foomuloved its axiomand dound odions & developeel many of its moon. emodical dools. He also made his condobuchons is unders dariding a Stochasdit process chains og linked peo bolybdylogical Joundations of peobchody Anenecy, Markov choinsdodonary & beenching process cue con classify Rolmogorous Woek on dousdchoos of peobability as his formuotises of measure cheoretic peobabilty,1933. 5 mod nequentist theory of peobabtody. 1963 nondomness.