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
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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