In: Statistics and Probability
Question 1.
An airplane is missing. Based on its flight plan, it has been determined that the airplane is equally likely to be in any one of three locations. A search team will find the airplane in the ith location (assuming it is there) with probability pi = 1 − i/(i + 1), for i = 1, 2, 3. Find the conditional probability that the airplane is in the second (i = 2) location given that the airplane was not found while searching the first (i = 1) location