A small startup called CodeAcademy provides quick programming solutions to students and professional clients. Clients submit their codes to the CodeAcademy website and a professional programmer will be assigned to their request to assist them with their request. The CodeAcademy has five full-time professional programmers who work on all of the coding. On average, a request arrives once every 4.8 hours, with a standard deviation of 6.0 hours. Each submitted request is assigned to one programmer and the programmer takes on average 19.2 hours to complete each request, with a standard deviation of 19.2 hours.

How many uncompleted requests does CodeAcademy have in the system on average at any given time? (Include coding requests waiting for a programmer as well as those being programmed.)

Please show your detailed calculations for each step, thank you!