Your neighbor goes to the post office once a month and picks up two checks, one for $$17,000$ and one for $$2,000.$ The larger check takes $4$ days to clear after it is deposited; the smaller one takes $6$ days. Assume $30$ days in a month.

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

b$.$ What is the average daily float?

c$-1.$ What are the average daily receipts?

c$-2.$ What is the weighted average delay?