Question

8. For the following situations, identify whether the type of probability is equally-likely, empirical or subjective. Please explain your answer. a) The percentage of female students in STAT 311 in Spring 2019 is 52.94% b) The percentage of female students in STAT 311 in Spring 2020 will be more than 50%. c) In 2013, 65.9% of all high school graduates were enrolled in colleges or universities.

Answer 1

Answer

(a) it is a case of equally likely probability because there is no assumption or experiment is used to determine the percentage of female students in STAT 311 in spring 2019. This means that there is no guessing include about the probability and everything is based on the facts which are collected from the data. So, it is an equally-likely probability case

(b) It is a case of subjective probability because we know that subjective probability deals more with one person's intuition rather than focusing on the facts and data. In this case, its an predicted percentage of female students in STAT 311 in spring 2020, but there is no data to back up the prediction. So, it is subjective probability.

(c) It is a case of empirical probability because we know that the empirical probability deals with experimental data and analysis. In this case, we are dealing with 2013 data of female students, i.e. this data is obtained after completing the required experiment. So, it is empirical probability.