When the number of user profiles reaches 40,000, the marketing team will launch an advertising campaign to introduce premium profiles, and a different function will be used to model the expected number of user profiles on the site. The function f represents the marketing team's expected number of user profiles after x months, when the domain is restricted to all numbers on the interval .

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297