Joan has a small design and tailoring shop making custom outfits for women. She has three employees.$$ Each employee only begins working on a dress when a customer order has been received and then she makes the dress from beginning to end.$$ The average production time of a dress is $2\mathrm{.}3$ days, with a standard deviation of $2\mathrm{.}7$ days. Historically, Joan has been receiving orders with interarrival times of one day on average. The interarrival times of orders have a coefficient of variation of one.

$($Carry at least $4$ decimal places in all intermediate calculations. Round your final answer to $2$ decimal places.$)$

What is the expected waiting time, in days, between when an order is received and when production begins on the dress? Question $10$ options:

A$)$

$4\mathrm{.}75$

B$)$

$1\mathrm{.}00$

C$)$

$3\mathrm{.}50$

D$)$

$2\mathrm{.}40$