STATS 10 Lecture Notes - Lecture 10: Bayes Estimator, Mutual Exclusivity
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Chapter 5 not tested in the midterm, but will be covered in quiz next week. (cid:862)or(cid:863) situatio(cid:374)s. I(cid:374) statisti(cid:272)s, (cid:862)or(cid:863) is al(cid:449)a(cid:455)s a(cid:374) i(cid:374)(cid:272)lusi(cid:448)e (cid:862)or(cid:863: means and/or. P(a or b) = probability of a happening or b happening or both: p(a or b) = p(a) + p(b) p(a and b) 30 people have both a dog and a cat. If i pick a person at random, what is the probability they have a cat or dog? (80 + 70 30) / 240 = 120 / 240 = 0. 5. What is the probability someone has a cat and no dog: 40/240 = 1/6 = 0. 1667. What is the probability someone has neither cat nor dog: 120/240 = 0. 5. If a a(cid:374)d b are (cid:862)(cid:373)utuall(cid:455) e(cid:454)(cid:272)lusi(cid:448)e(cid:863), this (cid:373)ea(cid:374)s that the pro(cid:271)a(cid:271)ilit(cid:455) of a a(cid:374)d b is 0: the(cid:455) (cid:272)a(cid:374)"t happe(cid:374) at the sa(cid:373)e ti(cid:373)e. If b happens, a is impossible: p(a and b) = 0.
