Question: Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether they belonged to an environmental organization (like the Sierra Club). The two-way table summarizes the survey responses.
Snowmobiles (5.2, 5.3) (a) If we choose a survey respondent at random, what's the probability that this individual
(i) is a snowmobile owner?
(ii) belongs to an environmental organization or owns a snowmobile?
(iii) has never used a snowmobile given that the person belongs to an environmental organization?
(b) Are the events "is a snowmobile owner" and "belongs to an environmental organization" independent for the members of the sample? Justify your answer.
(c) If we choose two survey respondents at random, what's the probability that
(i) both are snowmobile owners?
(ii) at least one of the two belongs to an environmental organization?