Problem 3 Consider a wireless network consists of one access point and I 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 x. 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 exactly one transmission takes place in a slot? (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 Ms = M. Problem 3 Consider a wireless network consists of one access point and I 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 x. 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 exactly one transmission takes place in a slot? (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 Ms = M