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Employees at a Large Computer Company Earn Sick Leave in One-Minute

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Employees at a large computer company earn sick leave in one-minute increments depending on how many hours per month they work. They can then use the sick leave time any time throughout the year. Any unused time goes into a sick bank account that they or other employees can use in the case of emergencies. The human resources department has determined that the amount of unused sick time for individual employees is uniformly distributed between 0 and 480 minutes. Based on this information, what is the probability that an employee will have less than 20 minutes of unused sick time?


Definitions:

Range

The difference between the highest and lowest values in a set; or in functions, the set of all possible output values.

\(g ( x )\)

A function notation similar to \(f ( x )\), where \(g\) represents another function with the variable \(x\).

Thermostat

A device used to maintain the temperature of a system at a desired set point by regulating the flow of heat energy.

Degrees Fahrenheit

A temperature scale where water's freezing point is at 32 degrees and its boiling point is at 212 degrees, given standard atmospheric conditions.

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