Few questions about REOs

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Thanks for reading...

1) Are banks more likely to accept a lower offer on an REO property if no financing is needed? In other words, if I can purchase the house outright, in cash, as opposed to someone that will be buying with a loan?

2) Does the listing agent automatically tell the bank everything you tell them? In other words, if I am a first time investor, will the agent relay this info to the bank? If so, how often will this hurt your offer on a property?

3) Say I found a REO property I am interested in, and by checking public records I see that the bank has held onto it for 3+ months, how hungry are they to get it off their books? Would offering 20% lower than their asking price be worth while? Remeber, they have held onto it for 3+ months.

Thanks!!!