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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 three randomly chosen employees have over 400 unused sick minutes at the end of the year?


Definitions:

Lateness

The state or condition of occurring after the expected, arranged, or usual time.

Compressed Workweek

An alternative work arrangement where employees work longer hours per day but for fewer days in a workweek to complete their full-time hours.

Job Satisfaction

The level of contentment employees feel toward their jobs, influencing their motivation, performance, and likelihood of staying with the company.

Flexible Work Arrangements

Employment terms that allow variability in working hours, locations, and other conditions to accommodate employees' needs and preferences.

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