STAB22H3 Lecture Notes - Lecture 8: Bayesian Probability, Iten, American Express
STAB22: Statistics I
Instructor: Caren Hasler
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Week 8
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Outline
XII From Randomness to Probability (p.350)
XIII Probability Rules (p.369)
0/26
find more resources at oneclass.com
find more resources at oneclass.com
Outline
XII From Randomness to Probability (p.350)
XIII Probability Rules (p.369)
0/26
find more resources at oneclass.com
find more resources at oneclass.com
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STAB22H3 Full Course Notes
Verified Note
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Document Summary
I the sample space of a random phenomenon is the set of all possible outcomes. Sample space: s = {1, 2, 3, 4, 5, 6} I an event is an outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space. I each occasion upon which we observe a random phenomenon is called a trial. I example: the sample space (s) for two tosses of a coin to is s. S = {hh, ht , th, tt } Then obtaining exactly one head is an event, call it a, then. I when thinking about what happens with combinations of outcomes, things are simpli ed if the individual trials are independent. I roughly speaking, two trials are independent when the outcome of one trial does not in uence or change the outcome of another. I example: coin ips are independent (independent/not indep). Let m represent the number of heads obtained.