SOLUTION: Particles are suspended in a liquid medium at a concentration of 5 particles per ml. A large volume of the suspension is thoroughly agitated, then 4 ml are withdrawn. What is the p

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Question 1022664: Particles are suspended in a liquid medium at a concentration of 5 particles per ml. A large volume of the suspension is thoroughly agitated, then 4 ml are withdrawn. What is the probability that exactly 17 particles are withdrawn?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The experiment follows a Poisson distribution, with pmf
p%28x%29+=+%28%28mu%29%5Ex%2Fx%21%29e%5E%28-mu%29, where mu+=+4%2A5+=+20.
==>
p%2817%29+=+%2820%5E%2817%29%2F17%21%29e%5E%28-20%29+=+0.075954, approximately.