You write a new app that can take a picture of someone and automatically draw a funny mustache on them. It takes 3 seconds of time on your server to perform this process. You expect that the time between user requests will follow an exponential distribution with rate ? (requests per second).
(a) What is the maximum request rate? that you can handle if you want the probability that a user will have to wait to be no more than 5%?
(b) How does it change if you improve your funny mustache algorithm to only take 2 seconds?