19.X.4.2. Telecommunication

Try these first

1. 1.

   What does λ represent in the context of the Poisson distribution?

   Hint

   Think about the average rate of calls in telecommunications.

2. 2.

   Is the Poisson distribution discrete or continuous?

   Hint

   Consider the type of events it models.

3. 3.

   What type of probability does the Poisson distribution deal with?

   • Continuous Probability
   • Discrete Probability
   • Neither

   Hint

   Think about how events are counted.

4. 4.

   True or False: The Poisson distribution can be used to model the number of calls received every minute.

   • True
   • False

   Hint

   Consider the flexibility of the Poisson model.

5. 5.

   A call center receives an average of 30 calls every hour. If one hour represents λ = 30, what is the probability of getting at least 25 calls in the next hour?

   Hint

   Consider using the complement rule to simplify calculations.

6. 6.

   In a telecom system, the average arrival rate for SMS messages is λ = 120 messages per hour. Calculate the probability of receiving exactly 80 messages in an hour.

   Hint

   Ensure to apply the model correctly.