Suppose that you are designing the node's transmission probability at the beginning of each slot in slotted ALOHA scheme. The derived optimal probability is used by four nodes to decide if they are transmitting in the coming slot or not. The nodes competing for access are labeled by A, B, C and D. Assume each node had an infinite number of packets to send. The first slot is numbered slot 1 , the second slot is numbered slot 2 and so on. a) Derive the optimal transmission probability for this system of four users. b) What is the probability that node A succeeds in slot 5 ? Provide your answers in number format. In the text box below, give the outline of your derivation and final equation and answer for both parts a and b. Upload your handwritten solution just to support your answers in the text box