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An earthquake of magnitude 7 or higher occurs in the Greater California region on average every 13 years. We have to use the Poisson distribution

An earthquake of magnitude 7 or higher occurs in the Greater California region on average every 13 years. We have to use the Poisson distribution to model this situation and using this model determine the probability that there will be at least one earthquake of magnitude 7 or higher next year (in the next 10 years, in the next 20 years, in the next 30 years). how to reflect on whether the Poisson distribution is well suited to model this situation?

Can you please help me to solve above queation I tried lot but i can not figure out please help with mathematical steps and explanation.

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