A: Water Pollution is present B: A Water Sample was found polluted C: 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)=D0.15, P(C|AnB')=0.80, and P(C|A'nB')=0.90 i. Find P(AnBnC) Find P(B'nC) ii. ii. Find P(C) iv. Find the probability that the water pollution is present given that the water is safe

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Chapter1: Combinatorial Analysis
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Polution is one of he countrys problems for many years now. if event(shown in picture)

 

A: Water Pollution is present
B: A Water Sample was found polluted
C: 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(CIA'nB)=D0.15,
P(C|AnB')=0.80, and P(C|A'nB')=0.90
i. Find P(AnBnC)
ii.
Find P(B'nC)
ii.
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.
iv.
Transcribed Image Text:A: Water Pollution is present B: A Water Sample was found polluted C: 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(CIA'nB)=D0.15, P(C|AnB')=0.80, and P(C|A'nB')=0.90 i. Find P(AnBnC) ii. Find P(B'nC) ii. 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. iv.
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