(Solved): 1. Consider a Wi-Fi modem in which the transmitted data packets form a Poisson process of rate 20 p ...

1. Consider a Wi-Fi modem in which the transmitted data packets form a Poisson process of rate 20 packets/s. Now consider \( \mathrm{K} \) as the number of packets transmitted between 22:00 and 22:02. a. Find the PMF of \( K \). b. Suppose that the transmission rate reduces, in early morning, to 5 packets/s. Find the PMF of N, the number of packets transmitted between \( 05: 00 \) and \( 05: 10 \).