Mathematics: The sum of three numbers is 30. The middle number is 5 less than the biggest number, while the smallest number is one-third of the biggest number. Find the three numbers

The sum of three numbers is 30. The middle number

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10.03.2020

A Poisson distribution, with λ=5.3

$P(x) = \frac{\lambda^{x} *e^{-\lambda}}{x!}$

Step-by-step explanation:

For this type of random variables, a Poisson distribution is the most adecuate.

If the number of occurrences in ten minutes is 5.3, we can define the parameter λ=5.3 and the probability function as:

$P(x) = \frac{\lambda^{x} *e^{-\lambda}}{x!} =\frac{5.3^{x} *e^{-5.3}}{x!} \approx\frac{0.005*5.3^{x}}{x!}$

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