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You Were Told That the Mean Score on a Statistics

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You were told that the mean score on a statistics exam is 75 with the scores normally distributed.In addition,you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%.The middle 86.64% of the students will score between which two scores?


Definitions:

Uncompensated Cost

Costs that occur when an action has effects, positive or negative, on third parties without those parties being compensated.

Social Cost

The total cost of an activity, including both private costs borne by the producer and external costs suffered by others.

External Costs

Costs incurred by someone who does not participate directly in a transaction or activity, often relating to environmental or societal impacts.

Socially Optimal

A condition or point at which the total benefits to society are maximized, often considered in the context of production or distribution of goods and services.

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