web2.0calc
 
+0  
 

 The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per c

0
1
2683
1
avatar+82 

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.

 Nov 21, 2014

Best Answer 

 #1
avatar+23252 
+5

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)

 Nov 22, 2014

1+0 Answers

 #1
avatar+23252 
+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

3 Online Users

avatar
avatar
avatar

Top Users

avatar+129898 CPhill moderator
avatar+118680 Melody moderator
avatar+37152 ElectricPavlov
avatar+33661 Alan moderator
avatar+15000 asinus moderator
avatar+2511 GingerAle
avatar+2499 Solveit
avatar+1938 NotThatSmart
avatar+1557 parmen
avatar+1505 blackpanther
avatar+1310 learnmgcat

Sticky Topics