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. Particles (e.g. yeast cell) are suspended in a liquid medium at a concentration. A large volume of the suspension is thoroughly agitated, and then 1 ml is withdrawn. The concentration in this sample is 10 particles per ml. What is the probability that, in the entire liquid medium, the concentration is exactly 8 particles/ml

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Answer:

Probability that, in the entire liquid medium, the concentration is exactly 8 particles/ml = = P(X=8) = 0.1126

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

λ = mean = 10 particles per mL

x = variable whose probability is required = 8 particles per mL

P(X = 8) = (e⁻¹⁰)(10⁸)/8!

P(X=8) = 0.11260

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