Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.25. (a) Find P(r = 0).

(b) Find P(r ≥ 1) by using the complement rule.

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