Final answer:
The question involves computing the median, mean, and standard deviation of class sizes, and creating a probability density function (PDF) for the random variable representing class sizes.
Step-by-step explanation:
The question regarding Ms. Gomez's class sizes asks us to find the median number of students in her classes, defined as the middle value when all class sizes are arranged in ascending order.
To find the average class size for the university's statistics classes, we sum the total number of seats available and divide by the number of classes. To define the Probability Density Function (PDF) for the random variable X representing class size, we consider the number of classes of each size and the total number of classes. Calculating the standard deviation of X will give us an idea of the spread of the class sizes around the mean.