According to a recent survey, 56% of Americans said they balance their checkbooks at least once a month. Assume that a sample of 400 Americans was selected.
A) What is the probability that a random sample of 400 will have at least 62% of the people who balance their checkbook at least once a month?
B) What is the probability that a random sample of 400 will have between 55% and 59% of the people who balance their checkbook at least once a month?
C) 81% of the samples of size 400 will have more than what percentage of people who balance their checkbooks at least once per month?
D) What is the probability that a random sample of size 400 will have less than 49% of the people who balance their checkbooks at least once per month?