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ositions prop for tax Syn riables va random olean Bo r o ositional Prop y?) cavit a have I (do ity av C e.g., ity cav written also osition, rop p a is ue tr = ity av C ) infinite r o finite ( riables va random Discrete i snow , oudy cl ain, r, sunny h of one is eather W e.g., osition rop p a is ain r = eather W exclusive mutually and exhaustive eb must alues V ) ounded unb r o ounded b( riables va random Continuous . 0. 22 < emp T e.g., w, allo also ; 6. 21 = emp T e.g., ositions rop p basic of combinations olean Bo ry Arbitra 11 13 Chapter
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y probabilit Prior ositions rop p of robabilities p unconditional r o r Prio 72 . 0 =) sunny = eather W( P and 1. 0 =) ue tr = ity av C( P e.g., evidence (new) any of rrival a to r rio p elief b to ond rresp co assignments: ossible p all r fo values gives distribution y Probabilit )1 to sums i.e., , rmalized no ( i1. 0, 08 . 0, 1. 0, 72 . 0h =) eather W( P the gives r.v.s of set a r fo distribution y robabilit p Joint oint) p sample every (i.e., r.v.s those on event atomic every of y robabilit p values: of matrix 2 ×4 a =) ity av C, eather W( P snow oudy cl ain r sunny = eather W 02 . 0 016 . 0 02 . 0 144 . 0 ue tr = ity av C 08 . 0 064 . 0 08 . 0 576 . 0 se al f = ity av C t join the yb ered answ eb can domain a out ab question ery Ev ts oin p sample of sum a is t en ev ery ev ecause b distribution 12 13 Chapter