Answer :
The probability that the next tornado comes within the next 8 months is p(x=8) = 0.026.
The given data in the question follows a Poisson distribution, so the probability of the next tornado to come within the next 8 months can be calculated using the Poisson equation.
The Poisson equation is given by the formula
p(x) =([tex]e^{ -\lambda }[/tex]×[tex]\lambda^{x}[/tex])÷(x!)
where, p(x) is the probability of x.
e is the base of the logarithm and, e = 2.71828 (approx).
λ is the average or the mean.
From the data given in the equation,
Poisson variable x = 8.
The average or mean, λ = 3.9
Substituting the values in the Poisson equation, the equation becomes
p(x = 8) = (([tex]e^{-3.9}[/tex])×([tex]3.9^{8}[/tex]))÷(8!)
Solving for x, we get the probability of x as
p(x = 8) = 0.026.
Learn more about probability at
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