If you want android-studio to be available to all users (based on the above) you should be unpacking the tar/tgz/zip to /opt rather than the /usr/local or /usr/bin (with the latter being preferred for specific-user installations). Setup properly, we shouldn't need to change user group permissions or any other high-level administration.
Unpack the downloaded tar/tgz/zip file where it lays
Using a Terminal window, navigate to that folder location (probably cd ~/Downloads), invoke sudo -i (You will need administrator/su permissions for the next few steps)
mv android-studio /opt moves the files you unpacked (requires permissions)
gedit android-studio.desktop this opens a text editor so that we may create a shortcut icon to open your new program. Insert the following code, then save the .desktop file.
Comment=Integerated Development Environment for Android
To finish up, desktop-file-install android-studio.desktop
We are done with the terminal window, you can close it or exit That .desktop file now allows you to search for and find android-studio within Ubuntu's Unity interface (or whatever DE menu/dash you are using). In other words, click that icon in the upper-left to search for android-studio You may also right-click on the icon while it is running and "lock it to the launcher."