Hey Samsung Galaxy Tab S 10.5 owners on T-Mobile, you have a OTA on the way. The network has listed that the tablet is being updated to Android 5.0.2 as of today which moves it off Android 4.4.4 KitKat up to the beloved Lollipop. Sadly, T-Mobile was a little late to the game on this update as the Wi-Fi variant saw the update a few months back and AT&T pushed it out last week, not to mention they were extremely bashful in listing any improvements in the update.
The baseband you will be looking for T807TUVU1BOE1 and should be starting make its appearance across devices. Feel free to bounce into settings and check for updates at your leisure. Be warned though, you will need well over 50% battery life, a solid Wi-Fi connection and some time to hangout for the 1.1GB update file to download and install. You will also need at least 3GB’s of free space to get he update going and be prepared to lose approximately 950MB’s of usable storage after it is done.