Suppose average monthly rainfall has been recorded for a particular city.

It has been calculated that the mean monthly rainfall is $2.183\text{ inches}$ with a standard deviation of $0.424\text{ inches}$.

Assuming that rainfall varies independently from one month to the next, and that this data is from one location of annual rainfall, determine the probability that this location averages fewer than $25\text{ inches}$ of rain per year over the next $5\text{ years}$.

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