One of the more contentious issues is whether there should be the death penalty for a person convicted of murder. According to estimates by Gallup, the percentages of U.S. adults that approve of, disapprove of, and have no opinion about the death penalty are 61%, 35%, and 4%, respectively. Suppose that three U.S. adults are randomly selected and asked their position on the death penalty.
a. Find the probability that the first two approve and the third disapproves.
b. Find the probability that exactly two of the three approve and one disapproves.
c. In doing your calculations in parts (a) and (b), are you assuming sampling with replacement or sampling without replacement? Does it make a difference which of those two types of sampling is used? Explain your answers.