In class, we compared the operation of a stop-and-wait protocol with the operation of a pipelined protocol for communication between a host located on the West Coast of the United States and a host located on the East Coast (see the figure below). Suppose the speed-of-light round-trip propagation delay (RTT) between these hosts is 30 milliseconds. Also, suppose these hosts are connected by a channel with a transmission rate of 1.5 Gbps. If the size of a packet is 1,500 bytes (including both header fields and data), how big would the window size have to be for the channel utilization to be greater than 95 percent?