Assume that the US thinks that Cordoba may be developing nuclear weapons.  Based on their overall pattern of behavior, intelligence initially thinks that there is a 30% chance they are developing nuclear weapons.  To provide additional certainty, the National Reconnaissance Office uses satellites to take pictures of suspect facilities.  They believe that if a country is developing nuclear weapons, these pictures would positively identify the weapons development 70% of the time.  However, they believe that pictures might indicate that a country is developing weapons 20% of the time if they are not.  The pictures do indicate that Cordoba is developing nuclear weapons.  Using Bayes’ rule, determine the probability US intelligence should place on the assessment

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Assume that the US thinks that Cordoba may be developing nuclear weapons.  Based on their overall pattern of behavior, intelligence initially thinks that there is a 30% chance they are developing nuclear weapons.  To provide additional certainty, the National Reconnaissance Office uses satellites to take pictures of suspect facilities.  They believe that if a country is developing nuclear weapons, these pictures would positively identify the weapons development 70% of the time.  However, they believe that pictures might indicate that a country is developing weapons 20% of the time if they are not.  The pictures do indicate that Cordoba is developing nuclear weapons.  Using Bayes’ rule, determine the probability US intelligence should place on the assessment

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