If a high school student is chosen at random, the student's year of study X is a random variable.
a. What are the possible values of X?
b. Suppose the school has equal numbers of freshmen, sophomores, juniors, and seniors. What would be the probability distribution of X?
c. If the school has fewer juniors and seniors, due to dropouts, would the mean of X be more than 2.5 or less than 2.5?
d. If we constructed a probability histogram for X, what would be the total area of its bars?