1. Suppose only three type of packets are sent on a network link: UDP, TCP, and ICMP. We use the following notation: P[UDP] = probability that a packet is of type UDP, P[TCP] = probability that a packet is of type TCP, P[ICMP] = probability that a packet is of type ICMP, and P[64] = probability that a packet is of length 64 bytes. The following questions are independent. Show all necessary steps in the computation/derivation of the final answers. a) [5 points] Assuming that 10% of all UDP packets on this link are 64 bytes long, and P[UDP] = 0.2, what is the probability of a packet being a 64-byte long UDP packet? b) [5 points] Assuming that P[UDP] = 0.3, P[64] = 0.3, and P[64 | UDP] = 0.1, what is the chance that a 64-byte long packet is of type UDP? c) [10 points] Assuming that P[UDP] = 0.3, P[TCP] = 0.5, IP[64 | UDP] = 0.5, P[64 | TCP] = 0.4, and P[64 | ICMP] = 0.25, what is the probability that a packet has length 64 bytes? d) [15 points] Assume probabilities given in Question 1(c) above. If a packet is not of length 64 bytes, what is the probability that it is not a TCP packet