1. Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their web page and Crunch bangs out the needed code as quickly as possible. Camile has five programmers who do the coding. On average, a project arrives once every 4.8 hours, with a standard deviation of 6.00 hours. Each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours.

1. Camile wants to know what fraction (as a percent) of the time is each of her programmers busy coding? (5 pt)
2. How many uncompleted projects does Crunch Code have on average at any given time? (Include projects waiting for a programmer as well as those being programmed.) (7 pt)

Note: Round your answer to the nearest integer.

2.Larry Ellison starts a company that manufactures high-end custom leather bags. He hires two employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.8 days, with a standard deviation of 2.7 days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of one.

What is the expected duration, in days, between when an order is received and when production begins on the bag?

Note: Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.