part a, b, c

60% of professional cyclists on the Tour de France were using performance enhancing drugs (PEDs). The cyclists were required to be tested for these drugs. The test would correctly detect PEDs 40% of the time, but would return a positive result for cyclists who were not using PEDs 10% of the time (false positives). Enter all probabilities as proportions, not percentages. (for example, that means enter 10% as 0.10) a. Finish the tree diagram by entering the values for each of the joint probabilities. (Enter the results in the designated blanks below the tree diagram). 0.60 0.40 (D+) (D-) 0.40 0.60 0.10 0.90 ( T+) (T-) (T+) (T-) b. Complete the two way table for 1000 cyclists from the probabilities in the tree diagram. Uses PEDs (D+) Does not Use PEDs (D-) Total Test Positive (T+) Test Negative (T-) Total 600 400 1000 C. A cyclist tests positive for PEDs. Determine the 'probability that cyclist is really using PEDs