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EXAMPLE 3.7f A plane is missing and it is presumed that it was equally likely to have gone down in any of three possible regions. Let 1- a; denote the probability the plane will be found upon a search of the ith region when the plane is, in fact, in that region, i = 1, 2, 3. (The constants a; are called overlook probabilities because they represent the probability of overlooking the plane; they are generally attributable to the geographical and environmental conditions of the regions.) What is the conditional probability that the plane is in the ith region, given that a search of region 1 is unsuccessful, i = 1,2, 3?

EXAMPLE 3.7f A plane is missing and it is presumed that it was equally likely to have gone down in any of three possible regions. Let 1- a; denote the probability the plane will be found upon a search of the ith region when the plane is, in fact, in that region, i = 1, 2, 3. (The constants a; are called overlook probabilities because they represent the probability of overlooking the plane; they are generally attributable to the geographical and environmental conditions of the regions.) What is the conditional probability that the plane is in the ith region, given that a search of region 1 is unsuccessful, i = 1,2, 3?

A First Course in Probability (10th Edition)
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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EXAMPLE 3.7f A plane is missing and it is presumed that it was equally likely to have gone down in any of three possible regions. Let 1– a; denote the probability the plane will be found upon a search of the ith region when the plane is, in fact, in that region, i= 1, 2, 3. (The constants a; are called overlook probabilities because they represent the probability of overlooking the plane; they are generally attributable to the geographical and environmental conditions of the regions.) What is the conditional probability that the plane is in the ith region, given that a search of region 1 is unsuccessful, i= 1,2, 3? -
Transcribed Image Text:EXAMPLE 3.7f A plane is missing and it is presumed that it was equally likely to have gone down in any of three possible regions. Let 1– a; denote the probability the plane will be found upon a search of the ith region when the plane is, in fact, in that region, i= 1, 2, 3. (The constants a; are called overlook probabilities because they represent the probability of overlooking the plane; they are generally attributable to the geographical and environmental conditions of the regions.) What is the conditional probability that the plane is in the ith region, given that a search of region 1 is unsuccessful, i= 1,2, 3? -
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