Final answer:
The expected number of students receiving $250 or more from a sample of 200 cannot be determined without further data. Similarly, the average class size, PDF, mean, and standard deviation for a university's statistics classes and the probability of a community college student living outside of a five-mile radius from campus cannot be calculated without specific probability distributions or additional information.
Step-by-step explanation:
The question asks to determine the expected number of students receiving $250 or more from a sample of 200 students. This is a question related to probability and statistics, specifically related to expected values in a statistical distribution. Without additional information provided about the distribution of awards to students, it is impossible to calculate an expected number. Therefore, the correct answer is D. Cannot be determined because there is not enough data given to make the calculation.
In the context of a university class sizes scenario, calculating the average class size if each class is filled to capacity involves summing the total number of spaces available and dividing by the number of classes. The Probability Density Function (PDF) for the size of a student's class (random variable X) requires additional information on the probability distribution for class size, which is based on the number of classes of each size and the total number of students. The mean and standard deviation of the random variable X also depend on this information and the specific class sizes.
The probability of a community college student not living within five miles of campus is another statistical question about the probability of a certain event occurring within a population. It requires data on the distribution of students' residence locations relative to campus. Without such data, the correct answer is D. Cannot be determined.