Consider two local banks. Bank A has $80$ loans outstanding, each for $$1\mathrm{.}0$million, that it expects will be repaid today. Each loan has a $5\%$probability of default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank $B$ has only one loan of $$80$ million outstanding, which it also expects will be repaid today. It also has a $5\%$ probability of not being repaid. Calculate the following:

a$.$ The expected overall payoff of each bank.

b$.$ The standard deviation of the overall payoff of each bank.