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For quanty control purposes, two same typesO Thunder Bay region, are being inspected weekl these rain is out of order 20% of the tim gauges are out of order. Compute: (i) the proba end of a week, (ii) the probability that at the en now denoting one rain gauge as A, another rair show that P(A/B)> P(A) and P(ANB)> P(A)» context, what the foregoing statements mean an gauges

For quanty control purposes, two same typesO Thunder Bay region, are being inspected weekl these rain is out of order 20% of the tim gauges are out of order. Compute: (i) the proba end of a week, (ii) the probability that at the en now denoting one rain gauge as A, another rair show that P(A/B)> P(A) and P(ANB)> P(A)» context, what the foregoing statements mean an gauges

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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For quality control purposes, two same types of rain gauges that have been recently installed in the Thunder Bay region, are being inspected weekly. Based on the results of weekly inspections, each of these rain gauges is out of order 20% of the time at the end of each week. In 10% of the time, both rain gauges are out of order. Compute: (i) the probability that at least one rain gauge is out of order at the end of a week, (ii) the probability that at the end of a week both rain gauges are still working, and (iii) now denoting one rain gauge as A, another rain gauge as B, and when P(A) #0.0 and P(B) # 0.0 then show that P(A/B) > P(A) and P(ANB) > P(A) x P(B), and in your understanding in a hydrologic context, what the foregoing statements mean and/or implies?
Transcribed Image Text:For quality control purposes, two same types of rain gauges that have been recently installed in the Thunder Bay region, are being inspected weekly. Based on the results of weekly inspections, each of these rain gauges is out of order 20% of the time at the end of each week. In 10% of the time, both rain gauges are out of order. Compute: (i) the probability that at least one rain gauge is out of order at the end of a week, (ii) the probability that at the end of a week both rain gauges are still working, and (iii) now denoting one rain gauge as A, another rain gauge as B, and when P(A) #0.0 and P(B) # 0.0 then show that P(A/B) > P(A) and P(ANB) > P(A) x P(B), and in your understanding in a hydrologic context, what the foregoing statements mean and/or implies?
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