Party Identificaion Favors Legal abortions Opposes Legal abortions Democrat 160 40 Republican 40 160 Independent 75 25 A Political scientis interviedwd 500 people to study therelationship between political party identification and attitudestoward legal abortions. What is the probability the an individual favors legalabortinos? What is the probability that an individual opposes legalabortions? What is the probability that an individual is a Democrat? ARepublican? An Independent? What is the probability that an individual favors legalabortion given that the individual is a Democrat? What is the probability that an individual is a Democrat giventhat the individual fabors legal abortions? Why are these probabilities different? Party Identificaion Favors Legal abortions Opposes Legal abortions Democrat 160 40 Republican 40 160 Independent 75 25 A Political scientis interviedwd 500 people to study therelationship between political party identification and attitudestoward legal abortions. What is the probability the an individual favors legalabortinos? What is the probability that an individual opposes legalabortions? What is the probability that an individual is a Democrat? ARepublican? An Independent? What is the probability that an individual favors legalabortion given that the individual is a Democrat? What is the probability that an individual is a Democrat giventhat the individual fabors legal abortions? Why are these probabilities different? Party Identificaion Favors Legal abortions Opposes Legal abortions Democrat 160 40 Republican 40 160 Independent 75 25
Explanation / Answer
there are 500 overall people. P(favors abortion): 275/500 P(opposes abortion): 225/500 P(Democrat): 200/500 P(Republican): 200/500 P(Independent: 100/500 P(favors abortion | Democrat): 160/200 **conditionalprobability restricts the sample space P(Democrat | favors abortion): 160/275 These probabilities are different because the sample spacesthat are being restricted by the conditional probability isdifferent.