STAT 245 Lecture Notes - Lecture 43: Mutual Exclusivity
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There are four mutually exclusive hair colours and the probabilities must sum to 1. So pr[beige] = 1 - 0. 3 -0. 2 -0. 1 = 0. 4: calculate the probabilities of each xenophobian below: i) red-eared, yellow-haired xenophobian? since hair and ear colour are independent this is given by: = 0. 01 ii) green-eared, orange-haired xenophobian? since hair and ear colour are indept: = 0. 16: green-eared, purple-haired xenophobian? since hair and ear colour are indept: = 0. 24: you randomly sample a single xenophobian and find they have beige hair. Pr[beige]=0. 4, since events are independent the conditional statement is irrelevant; hair colour doesn"t influence ear colour and vice versa: you randomly sample a single xenophobian and find they have green ears. What is the probability they have purple hair given that they have green ears? as above the conditional statement isn"t relevant. Pr[purple hair] = 0. 3 v) what is the probability of randomly sampling 3.
