p3,p4

a)

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air Force Base in California. Let A denote the event that the Vandenberg launch goes off on schedule, and let 8 represent the event that the Cape Canaveral launch goes off on schedule. If A and B are independent events with P(A) > P(B), P(A U B) = 0.604, and P(A n B) = 0.126, determine the values of P(A) and P(B). P(A) = 0.28 X P(B) = 0.45 XA chemical engineer is interested in determining whether a certain trace impurity is present in a product. An experiment has a probability of CJI'G of detecting the impurity if it is present. The probability of not detecting the impurity if it is absent is (3.30. The prior probabilities ofthe impurity being present and being absent are 0.25 and 8.30,. respectively. Three separate experiments result in only two detections. What is the posterior probability that the impurity is present? (Round your answer to three decimal places.) 0.325 x