Math Problem #35259

Number of Pages: 3 (Double Spaced) Number of sources: 1 Writing Style: MLA Type of document: Math Problem Academic Level:High School Category: Mathematics Language Style: English (U.S.) Order Instructions: ATTACHED. Please answer question 1-12 some of them are yes or no answers 1. Among 15,378 Delta airline passengers randomly selected, 3 were bumped from a flight against their wishes (based on data from the U.S. Department of Transportation). Find the probability that a randomly selected passenger is involuntarily bumped. Round to six (6) decimal places. Your answer should be written as a decimal, not as a percent. 2.“Referring to Question #1, is the probability of being bumped significantly low?” 3. Explain your answer to Question #2. 4.When considering results from a single trial, if one event is the complement of another event, must those events be disjoint? 5. Explain your answer to Question #4. 6.This question uses results from the “1-Panel-THC” test for marijuana use, which is provided by the company Drug Test Success. Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results. Fill in the table below: The subject used marijuana The subjected did NOT use marijuana Positive test result Drug test indicated marijuana use Negative test result Drug test indicated no marijuana use 7. Referring to Question #6, what is the probability of a false test result (false positive or false negative). Your answer should be a single probability and you should round to two decimal places. Your answer should be written as a decimal, not a percent 8.Referring to Question #6, what is the probability of a correct test result (true positive or true negative). Your answer should be a single probability and you should round to two decimal places. Your answer should be written as a decimal, not a percent. 9. Referring to your answers for Questions #7 and #8, what does this suggest about the test's accuracy? Your answer should include a clear statement indicating that the test is either accurate or inaccurate as well as reasoning for your decision. Hint: Consider both answers separately. Decide which value impacts your decision more. 10. In a case in Riverhead, New York, nine different crime victims listened to voice recordings of five different men. All nine victims identified the same voice as that of the criminal. If the voice identifications were made by random guesses, find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal. Hint: We are looking for the probability that nine victims randomly picked the same person from a line-up. Let’s take this question one victim at a time: • The first victim doesn’t need to pick suspect #1, they could pick ANY suspect, if they are picking randomly. So what is the probability that the first victim picks SOMEONE? ANYONE? • Now let’s look at victim #2. What is the probability that they pick the same person as victim #1? • Now let’s look at victim #3. What is the probability that they pick the same person as victim #1? • Etc. • Now let's look at victim #9. What is the probability that they pick the same person as victim #1? Once you find all those probabilities, what rule would apply? 11. Referring to Question #10, does this constitute reasonable doubt? Keep in mind that your calculation is the hypothetical situation that they all GUESSED the same person. The reality of the situation is that they DID identify the same person. An answer of "Yes" means based on your calculations, you cannot be sure that when all nine victims identified the same person, that they identified the true criminal. In other words, you're not convinced the victims identified the correct person. If you were on the jury, you would issue a "Not Guilty" verdict. An answer of "No" means based on your calculations, there is no reason to believe someone else did the crime - the victims identified the correct person. Provided the prosecuting attorney proved his/her case, you would return a verdict of "Guilty" if you were on the jury. 12. Explain your answer to Question #11.