Pollution is one of the country's problems for many years now. If events Water Pollution is present A Water Sample was found polluted water is safe for fishing Assume P(A)= 0.30, P(B |A)= 0.75, P(B|A')=0.20, P(C|AnB)= 0.20, P(C|A'nB)=0.15, P(C|AnB')=0.80, and P(C|A'nB')=0.90 Find P(ANBNC)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Pollution is one of the country's problems for many years now. If events
Water Pollution is present
A Water Sample was found polluted
water is safe for fishing
Assume P(A)= 0.30, P(B|A)= 0.75, P(B|A')=0.20, P(C|AnB)= 0.20, P(C|A'nB)=0.15,
P(C|AnB')=0.80, and P(C|A'nB')=0.90
Find P(ANBNC)
Find P(B'nC)
Find P(C)
Find the probability that the water pollution is present given that the water is safe
for fishing and the sample water was not found polluted.
Transcribed Image Text:Pollution is one of the country's problems for many years now. If events Water Pollution is present A Water Sample was found polluted water is safe for fishing Assume P(A)= 0.30, P(B|A)= 0.75, P(B|A')=0.20, P(C|AnB)= 0.20, P(C|A'nB)=0.15, P(C|AnB')=0.80, and P(C|A'nB')=0.90 Find P(ANBNC) Find P(B'nC) Find P(C) Find the probability that the water pollution is present given that the water is safe for fishing and the sample water was not found polluted.
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