Pollution is one of the country's problems for many years now. If events: A. water pollution is present B. a water sample was found polluted C. water is safe for fishing Assume P(A) = P(A) = 0.30, P(B|A) = 0.75, P(B|A') = 0.20, P(C|A N B) = 0.20, P(C|A'N B)= 0.15, P(C|A n B') = 0.80, and P(C|A' n B') = 0.90 i. Find P(A N Bn C) ii. Find P(B' n C) iii Find P(C) iv. Find the probability that the water pollution is present given that the water is sole for fishing and the sample water was not found polluted.

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Pollution is one of the country's problems for many years now. If events:
A. water pollution is present
B. a water sample was found polluted
C. water is safe for fishing
Assume P(A) = P(A) = 0.30, P(B|A) = 0.75, P(B|A') = 0.20, P(C|A n B) = 0.20, P(C|A'n B) =
0.15, P(CJA n B') = 0.80, and P(C|A' n B') = 0.90
i. Find P(A N BnC)
ii. Find P(B' n C)
iii. Find P(C)
iv. Find the probability that the water pollution is present given that the water
the sample water was not found polluted.
sole for fishing and
Transcribed Image Text:Pollution is one of the country's problems for many years now. If events: A. water pollution is present B. a water sample was found polluted C. water is safe for fishing Assume P(A) = P(A) = 0.30, P(B|A) = 0.75, P(B|A') = 0.20, P(C|A n B) = 0.20, P(C|A'n B) = 0.15, P(CJA n B') = 0.80, and P(C|A' n B') = 0.90 i. Find P(A N BnC) ii. Find P(B' n C) iii. Find P(C) iv. Find the probability that the water pollution is present given that the water the sample water was not found polluted. sole for fishing and
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