Statistics

2. These are the results from experiments with polygraph instruments. (4 pts) Did the Subject Actually Use Marijuana? No (Did Not Use) Yes (Used) Positive Test Result (Polygraph test indicated that the 24 1 19 subject used. ) (false positive) (true positive) Negative Test Result (Polygraph test indicated that the 154 subject did not use.) (true negative) (false negative) Suppose that one of the test subjects is randomly selected. Let A be an event that the selected subject is tested positive and B be an event that the selected subject did not use marijuana. Then find P(A or B). The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that your alarm clock has a 0.95 probability of working on any given morning. (4 pts) a. If you are using two different alarm clocks, what is the probability that they both fail on the morning of an important final exam? b. With one alarm clock, you have a 0.95 probability of being awakened. What is the probability of being awakened if you use two different alarm clocks