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The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per centimeter squared of media surface is 0.1. The area of a disk under study is 100 squared centimeters. Find the probability that 12 particles occur in the area of a disk under study.

yuhki  Nov 21, 2014

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Poisson Distribution:  P(x, μ)  =  (e^-μ)(μ^x) / x!

Average number hitting the disk  =  0.1 x 100  =  10

With  μ - 10  and  x = 12:

      P(12, 10)  =  (e^-10)(10^12) / 12!   =   0.095  (approximately)

geno3141  Nov 22, 2014
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 #1
avatar+17711 
+5
Best Answer

Poisson Distribution:  P(x, μ)  =  (e^-μ)(μ^x) / x!

Average number hitting the disk  =  0.1 x 100  =  10

With  μ - 10  and  x = 12:

      P(12, 10)  =  (e^-10)(10^12) / 12!   =   0.095  (approximately)

geno3141  Nov 22, 2014

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