Final answer:
Without information on the distribution of the Emotional Health Index Scores, such as mean and standard deviation, it's not possible to calculate the probability of a score being more than 81. The probability would normally be found using a z-score calculation if the distribution were known.
Step-by-step explanation:
To find the probability that the selected Emotional Health Index Score is more than 81, we need information about the distribution of these scores, such as the mean, standard deviation, and the type of distribution the scores follow. Without this information, we cannot accurately determine the probability. However, since this information is not provided, we cannot answer your question specifically.
If we assume a normal distribution and we have mean and standard deviation values, we would use the z-score formula to find the z-value corresponding to a score of 81 and then consult a standard normal probability table or use a calculator with statistical functions to determine the area to the right of this z-value, which represents the probability of scoring more than 81.
As this is a hypothetical scenario with insufficient data, it is important that you review any additional materials provided in your coursework that might help to solve this problem.