Sep 19, 2017

ASSUME IN THE SCENARIO OF EXERCISE 14.2.4 THAT A STUDENT WHO ARRIVES AND FINDS FIVE STUDENTS…

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Assume in the scenario of Exercise 14.2.4 that a student who arrives and finds five students already present becomes discouraged and leaves. Compute the probability of this happening.

Exercise 14.2.4

A university professor observes that the arrival process of students to her office follows a Poisson distribution. Students’ questions are answered individually in the professor’s office. This professor has calculated that the number of students who arrive during the time she is answering the questions of a single student has the following distribution:

Using the fact that the traffic intensity ρ is equal to the expected number of arrivals during one service, find the probability of having exactly three students waiting outside the professor’s office.


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