Mixing
Poisson Modeled Probability of Success
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So a sensor doesn't get active if it receives less than 4 photons per ms.if the number of photons received is modeled after the poisson probability law what is the probability of the sensor getting active when you put it in front of a light source that emits 10k photons /S.
What I don't understand is how i use the poisson law here, taking in that average is 10 whats the x that i apply in the formula?0.4 or 1 for just one success?
probability probability-theory probability-distributions poisson-distribution
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
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add a comment |
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So a sensor doesn't get active if it receives less than 4 photons per ms.if the number of photons received is modeled after the poisson probability law what is the probability of the sensor getting active when you put it in front of a light source that emits 10k photons /S.
What I don't understand is how i use the poisson law here, taking in that average is 10 whats the x that i apply in the formula?0.4 or 1 for just one success?
probability probability-theory probability-distributions poisson-distribution
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
$endgroup$
$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33
add a comment |
$begingroup$
So a sensor doesn't get active if it receives less than 4 photons per ms.if the number of photons received is modeled after the poisson probability law what is the probability of the sensor getting active when you put it in front of a light source that emits 10k photons /S.
What I don't understand is how i use the poisson law here, taking in that average is 10 whats the x that i apply in the formula?0.4 or 1 for just one success?
probability probability-theory probability-distributions poisson-distribution
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
$endgroup$
So a sensor doesn't get active if it receives less than 4 photons per ms.if the number of photons received is modeled after the poisson probability law what is the probability of the sensor getting active when you put it in front of a light source that emits 10k photons /S.
What I don't understand is how i use the poisson law here, taking in that average is 10 whats the x that i apply in the formula?0.4 or 1 for just one success?
probability probability-theory probability-distributions poisson-distribution
probability probability-theory probability-distributions poisson-distribution
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
asked Feb 3 at 3:56
IHaveNoIdeaWhatImDoingIHaveNoIdeaWhatImDoing
133
133
$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33
add a comment |
$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33
$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33
$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33
add a comment |
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$begingroup$
It seems you are not told how long you put it in front of the light source. If you put it there and wait long enough, eventually it will become active (with prob 1) because a 4-ms interval will eventually arise in which there are at least 4 arriving photons.
$endgroup$
– Michael
Feb 3 at 6:33