A computer programmer's task is to help engineers debug their computer programs. Engineers with programs to be corrected arrive, with an average time between request 1 hour and with a standard deviation of 1 hour. On average, it takes 48 minutes to debug a program, with a standard deviation equal to the mean.
a. On average, how many programs will be in a programmer's backlog of work?
b. On average, how much free time per 8-hour workday can the programmer expect to be available for new software-system design?