We used pure math to apply Bayes Theorem to drug tests. Now write Python code to...

Transcribed Image Text:

We used pure math to apply Bayes Theorem to drug tests. Now write Python code to reproduce the results! This is purposefully open ended - you'll have to think about how you should represent probabilities and events. You can and should look things up. Specific goals/targets: 1) Write a function def_prob_drunk_given_positive(prob_drunk_prior, false_positive_rate): You should only truly need these two values in order to apply Bayes Theorem. In this example, imagine that individuals are taking a breathalyzer test with an 8% false positive rate, a 100% true positive rate, and that our prior belief about drunk driving in the population is 1/1000. • What is the probability that a person is drunk after one positive breathalyzer test? • What is the probability that a person is drunk after two positive breathalyzer tests? • How many positive breathalyzer tests are needed in order to have a probability that's greater than 95% that a person is drunk beyond the legal limit? We used pure math to apply Bayes Theorem to drug tests. Now write Python code to reproduce the results! This is purposefully open ended - you'll have to think about how you should represent probabilities and events. You can and should look things up. Specific goals/targets: 1) Write a function def_prob_drunk_given_positive(prob_drunk_prior, false_positive_rate): You should only truly need these two values in order to apply Bayes Theorem. In this example, imagine that individuals are taking a breathalyzer test with an 8% false positive rate, a 100% true positive rate, and that our prior belief about drunk driving in the population is 1/1000. • What is the probability that a person is drunk after one positive breathalyzer test? • What is the probability that a person is drunk after two positive breathalyzer tests? • How many positive breathalyzer tests are needed in order to have a probability that's greater than 95% that a person is drunk beyond the legal limit?

Answer rating: 100% (QA)

To apply Bayes Theorem to calculate the probability that a person is drunk given a positive breathal... View the full answer