Solution:
Given:


Using the Z-score formula below;

Question a:
The probability that no more than 16 are members of a fraternity or sorority is;

Therefore, to three decimal places, the probability that no more than 16 are members of a fraternity or sorority is 0.883
Question b:
The mean of the distribution is;

Therefore, to one decimal place, the mean of the distribution is 12.3
Question c:
The standard deviation of the distribution is;

Therefore, to one decimal place, the standard deviation of the distribution is 3.1