Futurama Question

[tomdemaine]

I just watched the Futurama episode tale of two santas and thought there might be an interesting probability question there.

Bender the lovable robot is about to be put to death. His excecution is performed when a random number generator with two digits (ie between -99 and 99) reaches 00. If the number changes every second how long on average can he expect to live?

For extra credit suppose the random number generator could hit any integer on the number line. How long would you expect to live then?