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Probability problem - Call center

 
 
Reply Tue 19 Dec, 2017 04:36 am
A call center receives 2 phone calls per hour. There exists only one telephone operator for one phone call. The telephone operator leaves the call center for 10 minutes to have his break. What is the probability that the telephone operator won't miss a call in the next 10 minutes?
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Type: Question • Score: 2 • Views: 1,015 • Replies: 7
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ascribbler
 
  2  
Reply Tue 19 Dec, 2017 05:25 am
@clevergamer,
The question is phrased in a way that obliges you to assume that the probability of calls follows a uniform distribution.
engineer
 
  2  
Reply Tue 19 Dec, 2017 06:20 am
@clevergamer,
If you get one call every thirty minutes and are gone for 10 minutes, you have a 1/3 chance of missing a call.
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clevergamer
 
  1  
Reply Tue 19 Dec, 2017 08:13 am
@ascribbler,
I believe that that we have exponential distribution...
engineer
 
  1  
Reply Tue 19 Dec, 2017 09:12 am
@clevergamer,
Ok, then e^(-1/3)
PUNKEY
 
  1  
Reply Tue 19 Dec, 2017 09:27 am
One out of 5
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engineer
 
  2  
Reply Tue 19 Dec, 2017 09:28 am
@engineer,
Sorry, 1 - e^(-1/3)
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ascribbler
 
  1  
Reply Tue 19 Dec, 2017 07:03 pm
Several worked examples:

http://www-eio.upc.es/teaching/pe/www.computing.dcu.ie/~jhorgan/chapter16slides.pdf
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