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An electrochemical microsensor can detect single nanoparticles colliding on its surface. The average collision frequency measured...

An electrochemical microsensor can detect single nanoparticles colliding on its surface. The average collision frequency measured in an experiment is 1.3 particles/s. What is the estimated probably of observing two separate particles on the same sensor in 0.1 second?

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Answer #1

expected number of particles in 0.1 seconds =1.3*0.1 =0.13

therefore from Poisson distribution:

estimated probability of observing two separate particles on the same sensor in 0.1 second

=P(X=2)=(e-0.13*0.132/2!) =0.0074

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