Thats actually normal. Part of it is I didn't check if xboxlive.com is pingable, which it isn't. My bad. I assumed it was because thats what the Xbox forums say to use that when running a trace. Anyone know what Xbox live is using now for a server name?
The tracert looks good, no abnormal latency. Hop 1 is a thing that happens sometimes when computers running Windows 7 and later, but it doesn't effect anything. Hop 6 and 7 is just a common issue with some servers ignoring ICMP or ping traffic. Again, not service effecting.
It could be a intermittent issue though, so I would like to see the Ping work. Maybe just try
Ping -n 50 cox.net