Business Degree Certification Practice Test

What is the calculated probability that a student will score an A on the second test if the joint probability is known?

1. 0.50

2. 0.90

3. 0.95

4. 0.55

The correct answer is: 0.55

To determine the calculated probability that a student will score an A on the second test given the joint probability, it is important to understand how joint probabilities are defined and utilized in probability theory. The joint probability encompasses the likelihood of two events happening simultaneously. In this scenario, it refers to the events of improving from the first test to the second test and correlating that to the student achieving an A grade. In this context, the probability of scoring an A on the second test is influenced by the performance on the first test, as performance can often be indicative of future outcomes. Since the focus is on a specific probability of scoring an A, a figure of 0.55 aligns with many common statistical interpretations, indicating a moderate likelihood of achieving this grade based on historical performance trends and defined joint probabilities rather than an overly optimistic view. The other options suggest significantly higher probabilities, which may not accurately represent a realistic scenario in which performance can vary and where achieving top grades typically involves both effort and other contributing factors. Therefore, the calculated probability of 0.55 provides a balanced understanding of the student's chances while considering relevant performance metrics.