Frank's in-laws have told him they might be visiting for Thanksgiving and Christmas. To prepare, Frank bought his groceries in bulk this month. If Frank's in-laws don't come for both Thanksgiving and Christmas, some of his groceries will spoil. For each holiday, Frank estimates that there is a 70\%70%70, percent chance that his in-laws will visit independent of the other holiday. The table below shows the value of spoiled groceries based on how many holidays Frank's in-laws will visit him.

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