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Question: 6 pollution of the rivers in the united states has...

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6. 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) P(B | A) 0.3, P(B | A) 0.75, 0.20. P(C | A, n B)-0.15, P(C | A n B) 0.90. P(C | An B) P(C | A n B) 0.20, 0.80, (a) Find P(AnBnC). (b) Find P(BnC). (c) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution, i.e. find P(AI Cn B). (d) Suppose A and B are the only 2 events in the problem (so completely ignore event C for this part). Find P(AIB)



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