A bank has a $$200,000$ loan outstanding. The bank estimates that its expected

credit loss is $$1120,$ and that the loss given default is a uniform random number between $60\%$ and $80\%.$ Find the unexpected loss from the position.

$($a$)$ $$13,694\mathrm{.}72$

$($b$)$ $$12,725\mathrm{.}78$

$($c$)$ $$14,170\mathrm{.}39$

$($d$)$ $$15,074\mathrm{.}01$