Final answer:
The probability that the selected Emotional Health Index Score is 80.7 or 82.7 can be found by calculating the individual probabilities of each score and then adding them together.
Step-by-step explanation:
The probability that the selected Emotional Health Index Score is 80.7 or 82.7 can be found by adding the probabilities of each score individually. Since each Health Index Score is a sample space, we can assume that the probability of selecting a specific score from the sample space is the same for each score.
Given that the sample space consists of 170,000 interviews, the probability of selecting an 80.7 score would be:
Probability of 80.7 = Number of 80.7 scores / Total number of scores
Similarly, the probability of selecting an 82.7 score would be:
Probability of 82.7 = Number of 82.7 scores / Total number of scores
By calculating these probabilities individually and adding them together, we can determine the probability that the selected Emotional Health Index Score is 80.7 or 82.7.