An applicant must score at least 80 points on a particular psychological test to be eligible for the Peace Corps. From nearly 30 years experience, it is known 60% of the applicants meet this requirement. Let the random variable x be the number of applicants who meet this requirement out of a (randomly selected) group of 25 applicants.
1. Find the mean of x.
2. Find the standard deviation of x.
3. Using the Empirical Rule, within what limits would you expect most (say, 95%) of the measurements to be?