A poll is conducted by a television network to evaluate public opinion on the state of the economy in New Zealand using a countrywide representative sample. It is found that 35% of respondents believe the economy is in an acceptable position. Of the respondents living in rural areas, 75% do not believe the economy to be in an acceptable position. Assume that, of the people surveyed, 85% are not living in a rural area. One New Zealander is selected randomly.
(a) What is the probability that the person is living in a rural area?
(b) What is the probability that the person is not living in a rural area and does not believe the economy is in an acceptable position?
(c) If the person selected does not believe the economy is in an acceptable position, what is the probability that the person is living in a rural area?
(d) What is the probability that the person is living in a rural area or believes the economy is in an acceptable position?
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