At the College of Warm & Fuzzy, Good Grades in Math

question 17

Essay

At the College of Warm & Fuzzy, good grades in math are very easy to come by. The grade distribution is given in the table below: Suppose three students are to be selected at random. As each is selected their math grades are written down and they are replaced back into the population of students. Three possible outcomes of this experiment are listed below. Calculate the probabilities of these sequences appearing.
a)BAC
b)CFF
c)ABA

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Definitions:

Productivity

A measure of the efficiency of a person, machine, factory, system, etc., in converting inputs into useful outputs.

Compensation

The full quantity of cash and other forms of rewards offered to an employee by their employer as compensation for services rendered.

Straight Commission

A compensation model where an employee's pay is based entirely on the sales they generate, with no base salary.

Profit-sharing Plans

A company program where employees receive a portion of the company's profits, linking compensation to the company's financial performance.