The speed with which utility companies can resolve problems is very important In the United Kingdom, Octupus Energy reports it can resolve customer problems the same day they are reported in $70\%$ of the cases. Suppose the $12$ cases reported today are representative of all complaints

a$-1.$ How many problems would you expect to be resolved today. $($ Round your answer to $2$ decimal places$)$

a$-2.$ Where is the standard deviation? $($Round your answer to $3$ decimal places$)$