a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Incorrect b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places)
A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies.
| Earth is warming | Not warming | Don't know (or refuse) | Total | |
|---|---|---|---|---|
| Conservative Republican | 0.11 | 0.2 | 0.02 | 0.33 |
| Mod/Lib Republican | 0.06 | 0.06 | 0.01 | 0.13 |
| Mod/Cons Democrat | 0.25 | 0.07 | 0.02 | 0.34 |
| Liberal Democrat | 0.18 | 0.01 | 0.01 | 0.2 |
| Total | 0.6 | 0.34 | 0.06 | 1 |
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
- not mutually exclusive
- mutually exclusive
b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places)
c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
