Probability of a certain number of particle in a spherical space

foothill

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Oct 14, 2014
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Hey everyone,


I am a biologist and have a probability question that I would like to ask for help. Please find the below for your information.


I have a small sphere ball (diameter = d = unknown) that is allowed to move around within big spherical space (diameter = D = 4mm). And the sphere ball itself is being packed by numerous small particle (diameter = d' = 5um).


I am going to cut out three slices in the middle of the the sphere space, and each of the slice has a thickness (t) of 80 um.


Once I have three slices, for every single slice, calculate the probability of having more than 200 particles within the slice (ignoring the number of particles in the other two slices).


Thank you in advance!
 
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