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 employees can use in the case of emergencies. The human resource 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?

Question

Mathematics

Sebastian

25 December, 00:18

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 employees can use in the case of emergencies. The human resource 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?

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Answers (1)

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Ryder Hodges · Answer 1

80/480 * 100% = 16 2/3%

Step-by-step explanation:

Since the data is uniform, the number having from 0 to 480 is equal. The numbers from 401 to 480 is 80 and the total numbers is 480. All you need to do is divide 80 by 480 and multiply by 100% as shown in the answer.