Waste Management Project Narrative
A federal agency is trying to decide which of two waste management projects to investigate as the source of air pollution. In the past, projects of the first type were in violation of air quality standards with probability 0.3 on any given day, while projects of the second type were in violation of air quality standards with probability 0.25 on any given day. It is not possible for both projects to pollute the air in one day. Let , i = 1, 2, denote that project of type i was in violation of air quality standards.
-Refer to Waste Management Project Narrative. Find the probability of an air pollution being caused by either the first project or the second project.

Question

Waste Management Project Narrative
A federal agency is trying to decide which of two waste management projects to investigate as the source of air pollution. In the past, projects of the first type were in violation of air quality standards with probability 0.3 on any given day, while projects of the second type were in violation of air quality standards with probability 0.25 on any given day. It is not possible for both projects to pollute the air in one day. Let  , i = 1, 2, denote that project of type i was in violation of air quality standards.
-Refer to Waste Management Project Narrative. Find the probability of an air pollution being caused by either the first project or the second project.

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The Answer of Waste Management Project Narrative
A federal agency is trying to decide which of two waste management projects to investigate as the source of air pollution. In the past, projects of the first type were in violation of air quality standards with probability 0.3 on any given day, while projects of the second type were in violation of air quality standards with probability 0.25 on any given day. It is not possible for both projects to pollute the air in one day. Let  , i = 1, 2, denote that project of type i was in violation of air quality standards.
-Refer to Waste Management Project Narrative. Find the probability of an air pollution being caused by either the first project or the second project.