Of the 1286 students enrolled at the community college last fall, 367 registered early. Based on this data which approach would be best to find the probability of students who will register early this fall?
classical approach
subjective approach***
relative frequency approach
The subjective approach would be the best approach to find the probability of students who will register early this fall based on the given data. The subjective approach involves using personal judgment or opinions to estimate the likelihood of an event occurring. In this case, there is no historical data or established frequencies available, so the subjective approach allows for individual beliefs or assessments about the circumstances affecting the early registration for this fall.
To find the probability of students who will register early this fall, there are three possible approaches: classical approach, subjective approach, and relative frequency approach.
1. Classical Approach: This approach assumes that all outcomes are equally likely. However, in this scenario, it is difficult to determine whether all students have an equal chance of registering early. Therefore, the classical approach may not be the best option in this case.
2. Subjective Approach: This approach relies on personal judgment or opinions to estimate probabilities. For example, if someone familiar with the community college believes that the same percentage of students will register early this fall as last fall, they can use that estimate to determine the probability. However, this approach relies heavily on personal judgment and may not be precise or accurate.
3. Relative Frequency Approach: This approach involves using past data and observed frequencies to estimate probabilities. In this case, since we have information about the number of students who registered early last fall (367 out of 1286), we can use this data as a basis to estimate the probability for this fall. By calculating the relative frequency of students who registered early last fall (367/1286), we can estimate the probability of students registering early this fall. The relative frequency approach is often considered the most reliable approach as it is based on observed data.
Based on the given data, the relative frequency approach would be the best option to find the probability of students who will register early this fall.