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It is given that a total of 153 tornadoes hit New Mexico during a 64-year period and follow Poisson distribution.

Let x represents the number of tornadoes that hit New Mexico in one year.

The mean number of tornadoes that hit New Mexico in a year is denoted by\(\mu \).

The value of\(\mu \)is computed below:

\(\begin{aligned}{c}\mu = \frac{{{\rm{Number}}\;{\rm{of}}\;{\rm{Tornadoes}}}}{{{\rm{Number}}\;{\rm{of}}\;{\rm{Years}}}}\\ = \frac{{153}}{{64}}\\ = 2.39\end{aligned}\)

Thus, the mean number of tornadoes per year is equal to 2.39.

The standard deviation is computed as shown below:

\(\begin{aligned}{c}\sigma = \sqrt \mu \\ = \sqrt {2.39} \\ = 1.55\end{aligned}\)

Thus, the standard deviation is equal to 1.55.

The value of variance is the same as the mean value.

Thus, the variance is equal to 2.39.