Mixing
How many detectors of this design are required to achieve the threshold?
$begingroup$
A system for detecting release of materials will have identical and independent detectors; the standard detector has a 0.7 probability of detecting the materials and a 0.05 probability of giving a false alarm.
The failures of the detectors follow a Poisson distribution with an average of 0.2 failures per year.
The threshold for materials detection is required to be 0.99 (i.e. the likelihood that the release is not detected is 0.01). The detectors are tested once per year, and immediately replaced / repaired if necessary.
analysis
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
$endgroup$
add a comment |
$begingroup$
A system for detecting release of materials will have identical and independent detectors; the standard detector has a 0.7 probability of detecting the materials and a 0.05 probability of giving a false alarm.
The failures of the detectors follow a Poisson distribution with an average of 0.2 failures per year.
The threshold for materials detection is required to be 0.99 (i.e. the likelihood that the release is not detected is 0.01). The detectors are tested once per year, and immediately replaced / repaired if necessary.
analysis
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
$endgroup$
$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55
add a comment |
$begingroup$
A system for detecting release of materials will have identical and independent detectors; the standard detector has a 0.7 probability of detecting the materials and a 0.05 probability of giving a false alarm.
The failures of the detectors follow a Poisson distribution with an average of 0.2 failures per year.
The threshold for materials detection is required to be 0.99 (i.e. the likelihood that the release is not detected is 0.01). The detectors are tested once per year, and immediately replaced / repaired if necessary.
analysis
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
$endgroup$
A system for detecting release of materials will have identical and independent detectors; the standard detector has a 0.7 probability of detecting the materials and a 0.05 probability of giving a false alarm.
The failures of the detectors follow a Poisson distribution with an average of 0.2 failures per year.
The threshold for materials detection is required to be 0.99 (i.e. the likelihood that the release is not detected is 0.01). The detectors are tested once per year, and immediately replaced / repaired if necessary.
analysis
analysis
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
edited Jan 12 at 1:57
Ethan Bolker
42.7k549113
42.7k549113
asked Jan 11 at 23:33
Han HuHan Hu
1
asked Jan 11 at 23:33
Han HuHan Hu
1
asked Jan 11 at 23:33
Han HuHan Hu
1
1
$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55
add a comment |
$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55
$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55
$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55
add a comment |
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$begingroup$
Why on earth is there an Analysis tag instead of a Probability or Statistics tag?
$endgroup$
– glowstonetrees
Jan 12 at 2:55