6.49 Death Penalty in Lima An overwhelming majority of adults in Peru's capital believe capital punishment would be suitable in specific circum- stances, according to a poll by Apoyo published in El Comercio. In Lima, 81% of respondents would allow the death penalty for people convicted of raping young children. The above finding is based on inter- views with 503 Peruvian adults in Lima conducted on January 11 and 12, 2007.

a. Find the approximate probability that exactly 420 randomly selected Peruvian adults in Lima would allow the death penalty for people convicted of raping young children.

b. Find the approximate probability that fewer than 420 randomly selected Peruvian adults in Lima would allow the death penalty for people convicted of raping young children.

c. Find the approximate probability that more than 420 randomly selected Peruvian adults in Lima would allow the death penalty for people convicted of raping young children.

d. Can you assume that Peruvian adults in Lima are a representative sample of all adults in Peru? Explain.