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in 2009, a gullop poll found that 47% of Americans favored protection of the environment at the risk of limiting energy supplies, while 46% favored the development of u.s energy supplies even if that risked harming the environment. Another 3% felt that energy and the environment were equally important. a) based on the poll, whats the probability a person had "no opinion"? b) Whats the probability of that a respondent rated protecting the environment as equally important or more important than developing energy sources

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Final answer:

The probability of a person having 'no opinion' is 4% and the probability that a respondent rated protecting the environment as equally important or more important than developing energy sources is 50%.

Step-by-step explanation:

To find the probability that a person had 'no opinion', we need to subtract the percentages of people who favored protection of the environment and development of U.S. energy supplies from 100%. So the probability of a person having 'no opinion' is:

100% - 47% - 46% - 3% = 4%

Now, to find the probability that a respondent rated protecting the environment as equally important or more important than developing energy sources, we add the percentages of people who favored protection of the environment and felt that energy and the environment were equally important. So the probability is:

47% + 3% = 50%

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