Does the bug in Bash affect Android or iOS mobile systems?
Not out-of-the-box. I know of no Android or iOS device running a bash shell. Some people might, on their rooted devices, but that will be only a few.
I have run the official test script on my Samsung Galaxy Tab 10.1 and it indicates it is vulnerable. This device was just out of the box and has not been rooted.
Some Aftermarket Android ROMs like CM are vulnerable, because they have the bash shell in their ROMs integrated. CM fixed their Nightlies. I tried the official test script on my Android Devices (all with Custom ROMs) and all were vulnerable.