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On average, 0.61 soldiers in each corp of the Prussian cavalry were kicked to death by...

On average, 0.61 soldiers in each corp of the Prussian cavalry were kicked to death by horses each year. What is the probability that in the next year, exactly 3 soldiers will be kicked to death by a horse?

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Answer:

It follows a classic example of poisson distribution because,

where lambda = 0.61

=> for P (X =3) = e-lambda * lambdaX/ X = e-0.61 * 0.613 / 3 = 0.02056

Alternatively it can also be solved with the help of a poisson calculator.

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