Pollution of the rivers in the United States has been

Academic Writing study-help Pollution of the rivers in the United States has been

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Pollution of the rivers in the United States has been

Question
Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A: the river is polluted, B: a sample of water tested detects pollution, C: fishing is permitted. Assume P(A) = 0.3, P(B|A) = 0.75, P(B|A’) = 0.20, P(C|A∩B) = 0.20, P(C|A’∩B) = 0.15, P(C|A∩B’) = 0.80, and P(C|A’∩B’) = 0 .90.  (a) Find P(A∩B∩C).   (b) Find P(B’∩C).  (c) Find P(C).  (d) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution.
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