Consider two local banks. Bank A has $80$ loans outstanding, each for $$0\mathrm{.}5$ 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 $$40$ 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.

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

The expected overall payoff of Bank A is $$38$ million. $($Round to two decimal places.$)$

The expected overall payoff of Bank B is $$38$ million. $($Round to two decimal places.$)$

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

The standard deviation of the overall payoff of Bank A is $

million. $($Round to four decimal places.$)$