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Discussion Topic To see if event A and event B are independent of each other, test if P(A/B) = P(A) or if P(BIA) = P(B).
Posted: Mon Jul 11, 2022 11:40 am
by answerhappygod
- Discussion Topic To See If Event A And Event B Are Independent Of Each Other Test If P A B P A Or If P Bia P B 1 (37.94 KiB) Viewed 31 times
Discussion Topic To see if event A and event B are independent of each other, test if P(A/B) = P(A) or if P(BIA) = P(B). If the two sides of the equation(s) are equal, then the two events are independent; if not equal, then not independent. Suppose you have data of gender and pet ownership presented as below: Female Male Own a Pet 60 80 Don't Own a Pet 30 40 I Based on the data, prove whether gender is related to pet ownership. Hint: We want to see if gender and pet ownership are independent of each other. Note that each of the two variables (gender and ownership) has two categories (female and male; pet and no pet). All we need to do is to pick (any) one category from each variable and test if P(A/B) = P(A). You will first need to convert the frequencies in the above table into probabilities. Refer to sections 5 and 6 in the text. For this post, you do not have to comment on others' posts if you choose not to.