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 L. Find P(A ΩBΩΟ 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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