4. 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 (each with probability 1/3). Some locations are easier to search than others for various geological reasons. If the airplane is in location 1,2,3 then the team will find it while searching there with probability 1/2, 1/3, 1/4, respectively. Suppose that location 1 is searched first, and the airplane is not found there. Show that, given this, with conditional probability 2/5 the airplane is in location 2.
4. 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 (each with probability 1/3). Some locations are easier to search than others for various geological reasons. If the airplane is in location 1,2,3 then the team will find it while searching there with probability 1/2, 1/3, 1/4, respectively. Suppose that location 1 is searched first, and the airplane is not found there. Show that, given this, with conditional probability 2/5 the airplane is in location 2.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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