# Solution Library

# Calculate the Probability of a System Using MATLAB

**Question**

Consider the operation of a router where packets arrive based on a Poisson process. Packets arrive at an average rate of 2 per second.

a) What is the probability that exactly 3 messages will arrive in 1 second?

b) What is the probability that 4 or more messages will arrive in 1 second?

**Summary**

This question belongs to MATLAB software and discusses about application of MATLAB in operations management to find out the probability of an operation router.

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