Meteorologists in the USA are counting the number of tornados occuring in the so called Tornado...

Meteorologists in the USA are counting the number of tornados occuring in the so called Tornado Alley in a year. How would you model probabistically the number of tornados during this time? How would you model probabistically the time between occurences of tornados? Justify your answers.

Expert Solution

Here, we are given that, Meteorologists in the USA are counting the number of tornados occuring in the so called Tornado Alley in a year.

Now, we have to tell, how would we model probabistically the number of tornados during this time? How would we model probabistically the time between occurences of tornados?

Answer :-

The number of tornados during this time can be modelled using a Poisson Distribution.

The time between occurences of tornados can be modelled using Exponential Distribution.

Justification:- As we know that, the number of arrivals can be modelled using Poisson Distribution as , it is used as the distribution of Birth Process or the Distribution of Arrivals .

Hence, the number of tornadoes during this time can be modelled Probabistically using the Poisson Distribution.

Further, we also know that, if the distribution of arrivals is Poisson Distribution then the Distribution of Inter-arrival times i.e. the the time between two or more tornadoes here,

It can be modelled using the Exponential Distribution.

Hence, the time between occurences of tornadoes can be modelled Probabistically using Exponential Distribution.

This answers your question.

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orchestra answered 1 year ago

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