Homework Help is Here – Start Your Trial Now!
Math
Probability
2.107 Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A= (The river is polluted.} {A sample of water tested detects pollution.} C= {Fishing permitted.} Assume P(A) = 0.3. 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'n B') = 0.90. (a) Find P(ANBNC). (b) Find P(B' nc). (c) Find P(C). (d) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. %3D

2.107 Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A= (The river is polluted.} {A sample of water tested detects pollution.} C= {Fishing permitted.} Assume P(A) = 0.3. 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'n B') = 0.90. (a) Find P(ANBNC). (b) Find P(B' nc). (c) Find P(C). (d) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
See similar textbooks
icon
Related questions
Question
2.107 Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A= (The river is polluted.} {A sample of water tested detects pollution.} C= {Fishing permitted.} Assume P(A) = 0.3. 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'n B') = 0.90. (a) Find P(ANBNC). (b) Find P(B' nc). (c) Find P(C). (d) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. %3D
Transcribed Image Text:2.107 Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A= (The river is polluted.} {A sample of water tested detects pollution.} C= {Fishing permitted.} Assume P(A) = 0.3. 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'n B') = 0.90. (a) Find P(ANBNC). (b) Find P(B' nc). (c) Find P(C). (d) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS