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Poisson or the exponential distributions

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Reference no: EM131178774

Say that a restaurant is trying to figure out the efficiency of its servers and discovers the number of parties served by one server in an hour period follows a Poisson distribution with a mean of 12.  

Include cdf notation when appropriate. You may use F(x) for the Poisson or the exponential distributions.

15 minutes is 0.25 hours.

What is the probability that one server will be able to serve more than 10 parties in an hour? What is the probability that one server will be able to serve between 3 and 8 parties in an hour?

  • If you notice that a server on average, can serve 12 parties in an hour, what is the average time it takes for a party to be served?  
  • Using the average from above, use an exponential distribution to find the probability that it will take more than 15 minutes to serve a party.
  • What's the probability that it will take between 5 and 10 minutes for a party to be served?

Reference no: EM131178774

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