A survey was conducted among 800 people on their opinion about President Obama\'

Question

A survey was conducted among 800 people on their opinion about President Obama's health care proposal. The following information was collected: a). There were 500 Democrats and 300 Republicans b). Among the Democrats, 300 supported the President's health care proposal and the rest didn't. c). Among the Republicans, 100 supported the President's health care proposal and the rest didn't. Answer the following questions: Suppose a person is selected randomly from these 800 people i). What is the probability that the person is a Democrat who doesn't support the President's ii). What is the probability that the person is a Democrat who doesn't support the President's proposal? iii). What is the probability that the person is a Democrat or the person supports the President's proposal? iv). What is the probability that the person supports the President's proposal knowing that the person is a Republican? v). Are "being a Republican" and "supporting the President's proposal" independent events? vi). Are "being a Republican" and "supporting the President's proposal" mutually exclusive events?

Explanation / Answer

(i) Probability = 300/800 = 0.375

(ii) Probability = 200/800 = 0.25

(iii) Probability = 500/800 + 400/800 - 300/800 = 600/800 = 0.75

(iv) Probability = 100/300 = 0.3333

Support No support Total Democrat 300 200 500 Republican 100 200 300 Total 400 400 800

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