Your neighbor goes to the post office once a month and picks up two checks, one for $$13,000$ and one for $$4,000.$ The larger check takes five days to clear after it is deposited; the smaller one takes four days. Assume $30$ days in a month.

a$.$ What is the total float for the month? $($Do not round intermediate calculations.$)$

b$.$ What is the average daily float? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ What are the average daily receipts? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-2.$ What is the weighted average delay? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$