Conduct a marketing experiment in which students are to taste one of two different brands of soft drink. Their plan is to correctly identify the brand tasted. You select a random sample of 200 students and assume that the students have no ability to distinguish between the two brands.
A) What is the probability that the sample will have between 50% and 60% of the identification correct?
B) The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage?