The SAT Scores of Students Are Normally Distributed with a Mean

question 47

Essay

The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of 200.
a.Nancy Bright's SAT score was 1390.What percentage of students have scores more than Nancy Bright?
b.What percentage of students score between 1100 and 1200?
c.What are the minimum and the maximum values of the middle 87.4% of the scores?
d.There were 165 students who scored above 1432.How many students took the SAT?

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Definitions:

Significant Effects

Impacts or changes that are considerable in size, importance, or consequence in a specific context or situation.

Individual Capacity

Acting on one’s own behalf, involving personal rights or responsibilities, rather than on behalf of a group or a corporate entity.

Liability

The state of being legally responsible for something, typically a debt or obligation.

Note

A financial instrument recognizing a debt or obligation, typically with the promise to repay the principal along with potential interest.