Show that for any positive integers a, b, and c, abc*lcm(a, b, c) ≥ lcm(b, c)* lcm(c, a)* lcm(a, b), where lcm denotes the least common multiple

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