5. Consider time slot data transmission from a base station to a node. In each time base station transmits a packet with probability 0.4. The node can be in the acti and can receive the packet. the power consumption of which is 30 mW. Alternat node can be in the sleep mode and cannot receive the packet: the power consu which is 10 mW. The node can decide to be in the receive mode or sleep m probability p. Calculate an optimal 1value of probability p such that the avera consumption of the node is minimizedr and the base station achieves the through packetsftime slot. Compute the average power consumption at the optimal probability p