Problem 3 Consider a wireless network consists of one access point and N clients devices. Slotted ALOHA is adopted in this network. It is assumed that in each slot, a client device sends a packet to the access point with probability Also, the access point sends a packet to one of the clients with probability Pa in each slot. Single packet transmission time is equal to the slot length. Package transmission of a device is considered to be successful if only one transmission takes place in the slot. (a) Calculate the probability that a given transmission by a client is successful and the probability that a given transmission by the access point is successful (b) Let N, and Nr denote the average number of packets successfully sent and received by the access point per slot, respectively. As N approaches infinity, find the value of pa such that N, N Problem 3 Consider a wireless network consists of one access point and N clients devices. Slotted ALOHA is adopted in this network. It is assumed that in each slot, a client device sends a packet to the access point with probability Also, the access point sends a packet to one of the clients with probability Pa in each slot. Single packet transmission time is equal to the slot length. Package transmission of a device is considered to be successful if only one transmission takes place in the slot. (a) Calculate the probability that a given transmission by a client is successful and the probability that a given transmission by the access point is successful (b) Let N, and Nr denote the average number of packets successfully sent and received by the access point per slot, respectively. As N approaches infinity, find the value of pa such that N, N