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What is the probability that the selected Emotional Health Index Score is less than 80.2 given that it is already less than 81?

a. 0.5

b. 0.25

c. 0.75

d. 0.2

1 Answer

6 votes

Final answer:

Without specific data on the distribution of Emotional Health Index Scores, an exact probability of a score being less than 80.2 given it's already less than 81 cannot be calculated. An understanding of the distribution and intersection of events is necessary for computing conditional probabilities.

Step-by-step explanation:

The question, 'What is the probability that the selected Emotional Health Index Score is less than 80.2 given that it is already less than 81?' refers to a conditional probability scenario. Since we're only considering cases where the Emotional Health Index Score is already less than 81, our probability set is restricted to this condition.

Without information about the distribution of scores or additional data, we can't calculate an exact probability. Therefore, we're not in a position to provide a definitive answer to this question. However, it is crucial to understand that conditional probabilities typically require information about how the underlying variable is distributed, and how the different events (in this case, a score being less than 81 and less than 80.2) intersect within that distribution.

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