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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. The company has decided to give a cash payment to any employee that returns over a specified amount of sick leave minutes. Assuming that the company wishes no more than 5 percent of all employees to get a cash payment, what should the required number of minutes be?


Definitions:

Vision

The sense or ability to perceive light and distinguish objects and forms based on their visual properties.

Hearing

The sensory process by which sound is perceived through the ear, involving the detection of sound waves and their transmission to the brain.

Hearing Loss

A partial or total inability to hear sound in one or both ears.

Background Noise

Ambient sound that is not the primary focus but may interfere with or alter the perception of the main audio being listened to or recorded.

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