Question

[6 pts] Among UI students like you, about 86% live in an apartment. Among those students who live in an apartment, 18% own a pet. Among those who don't, 43% own a pet. If a randomly chosen student owns a pet, what is the probability that (s)he lives in an apartment? Determine your answer by making a table similar to Table 1.3 in Cowles. 1. RT

Answer 1

posterior probability represent condition

here condition is given that owns a pet,then finding out probability of living in apartment

apartment	prior probability	likehood for pet	prior*likehood	posterior probablities
live	0.86	0.18	0.1548	0.1548/0.215=0.72
do not live	0.14	0.43	0.0602	0.0602/0.215=0.28
total	1	0.61	0.215	1

P(live in apartment | owns pet ) = 0.72

-------------------

please revert if have any doubts