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(A∩B) > P(A) x P(B), and in your understanding in a hydrologic context, what the foregoing statements mean and/or implies?
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
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