Let's consider a cybersecurity scenario in which we want to model the rate at which a system is targeted by cyberattacks over a certain period of time. Imagine a company's server being targeted by distributed denial-of-service (DDoS) attacks. These attacks flood the server with a large volume of traffic, causing it to become overwhelmed and unable to respond to legitimate requests.

Based on historical data and network analysis, the average rate of DDoS attacks targeting the server is five per hour. What are the probabilities of experiencing different numbers of attacks (0, 1, and 2) within that hour?

the calculus, and a explanation of your solution (calculus).

please please dont use Ai tools answers by human logic.