If you don't want your computer to back up automatically, based on usage thresholds, you can set Mozy to back up on a schedule. For example, you might want your computer to back up during your lunch hour, or at a specific time at night, or once a week on a specific day. You can also back up manually and automatically. For more information, see Back Up Manually and Back Up Automatically.
If you cannot change this setting and you use Windows, you may be able to resolve this issue yourself. For more information, see If Settings Are Greyed Out in the Mozy Backup Software for Windows. If you use MozyPro or MozyEnterprise, you may not be able to change this setting if your account administrator is managing it for you.