Sketch rough graphs (back of napkin) illustrating the relationships among the following quantities. Note any important assumptions underlying your analysis.

a. Page fault rate as a function of page size. What page sizes are typical for current processors and operating systems?

b. Disk access latency as a function of rotation speed.

c. CPU utilization as a function of the degree of multiprogramming. Consider a uni-processor system.

d. Memory fragmentation as a function of page size. Is that internal or external?