Answer Happy

Question 10 5 Points First box contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. Abox is selected at random and a ball is selected at random from it. Given that the ball selected is green, what is the probability it was selected from the second box? A 1/5 B 1/4 1/2 D 1/3 Question 11 5 Points Many diagnostic tests for detecting diseases do not test for the disease directly but for a chemical or biological product of the disease, hence are not perfectly reliable. The sensitivity of a test is the probability that the test will be positive when administered to a person who has the disease. The higher the sensitivity, the greater the detection rate and the lower the false negative rate. Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 85%. A person who actually has the disease is tested for it using this procedure by two independent laboratories. The probability that both test results will be positive is Blank 1 The probability that at least one of the two test results will be positive Blank 2 (round off your answer to four decimal places)