There is a growing public support for marijuana law reform, with polls showing more than half the country is in favor of some form of marijuana legalization. However, opinions on marijuana are divided starkly along political party lines. The results of the Pew Research Center survey conducted in 2016 are shown in the following table. In addition, assume that 27% of Americans identify as Republicans, 30% as Democrats, and 43% as independents.
Political Party. . . . . . . . . . . . . . . . Support
Republican . . . . . . . . . . . . . . . . . 41%
Democrat . . . . . . . . . . . . . . . . . .66%
Independent . . . . . . . . . . . . . . . . 63%
a. Calculate the probability that a randomly selected American adult supports marijuana legalization and is a Republican.
b. Calculate the probability that a randomly selected American adult supports marijuana legalization and is a Democrat.
c. Calculate the probability that a randomly selected American adult supports marijuana legalization and is an Independent.
d. What percentage of American adults support marijuana legalization?
e. If a randomly selected American adult supports marijuana legalization, what is the probability that this adult is a Republican?
