Employees at a large computer company earn sick leave in one-minute increments d

Question

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?

Explanation / Answer

The fact that the sick leave is in one-minute increments lets us know that this is discrete. So we have a discrete uniform from 0 to 480.

Notice that means we have 481 different sick leave minutes.
So, the probability that x<20 is the same as x<=19 (important since we are discrete).
Then putting this together we get 20/481.

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.