Your neighbor goes to the post office once a month and picks up two checks, one for $$14,000$ and one for $$2,000.$ The larger check takes $4$ days to clear after it is deposited; the smaller one takes $6$ days. Assume $30$ days per month.

$1.$ What is the total float for the month?

$2.$ What is the average daily float?

$3$a$.$ What is the average daily receipts?

$3$b$.$ What is the weighted average delay?