STAB52H3 Final: CompleteNotes.pdf
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1: de nition: the experiment: is the procedure or phenomenon that generates a random outcome. Waiting at the bus stop and recording the waiting time: de nition: the sample space is the set of all possible outcomes of the experiment, notation: we denote the sample space of an experiment by s. If the experiment is ipping a coin and recording the outcome then s = {h, t}. If we denote by a the event that we ipped a tail then a = {t}. If we denote by s the set of all subsets of s = {h, t} then s = { ,{h},{t}, s}. If we denote by s the set of all subsets of s = {x : x 0} then s = {a : a s}: de nition: probability measure is a rule for assigning probabilities to events. P (a1 a2 a3 ) = p (a1) + p (a2) + p (a3) + .
