According to the 2002 survey by National Endowment for Arts, 60% of U.S residents 18 as well as older attended a movie at least once in the previous year. Assume you are performing the study and would like at least 12 people in the study to have attended a movie at least once in the past year.
a. How many residents of United States 18 years old or older do you anticipate to have to randomly select?
b. How many residents of the United States 18 years old or older do you've to randomly choose to have a 99% probability that the sample haves at least 12 who have attended the movie in the past year?