The Scores of High-School Students Sitting a Mathematics Exam Were

question 82

Short Answer

The scores of high-school students sitting a mathematics exam were normally distributed, with a mean of 86 and a standard deviation of 4.
a. What is the probability that a randomly selected student will have a score of 80 or less?
b. If there were 97 680 students with scores higher than 91, how many students took the test?

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Definitions:

Payroll Tax

Contributions demanded from either employees or employers, frequently calculated based on the salaries that staff are awarded by their employers.

Personal Income Tax

A tax levied on an individual's total personal income, taking into account wages, salaries, and other sources of income.

Federal Government Spending

Expenditures by the federal government on goods, services, and obligations, including defense, welfare, and public works.

Federal Income Tax

A tax levied by the U.S. federal government on individuals and entities based on their annual income, with rates that vary by income level.