A Professor at a Local Community College Noted That the Grades

question 13

Short Answer

A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10. The professor has informed us that 6.3 percent of his students received A's while only 2.5 percent of his students failed the course and received F's.
a.What is the minimum score needed to make an A?
b.What is the maximum score among those who received an F?
c.If there were 5 students who did not pass the course, how many students took the course?

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Definitions:

Inequality

Refers to the unequal distribution of resources, rights, and opportunities among individuals or groups within societies.

John Rawls

A 20th-century American philosopher known for his work in political philosophy, especially in his theory of justice as fairness.

Principle of Justice

A fundamental ethical guideline that ensures fair and equitable treatment for all individuals and the distribution of rewards and burdens in society.

Good Life

A concept in philosophy and ethics referring to a fulfilling, meaningful, and morally virtuous life, often associated with happiness, well-being, and flourishing.