suppose the mean number of earthquakes per year in a certain region is 8 . what is the probability that in a given year more than 5 earthquakes occur ?

Respuesta :

the probability that in a given year more than 5 earthquakes occur is 72.1%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Let X denotes the number of earthquakes during the next year in this area

X ~ Poisson(2)

The probability mass function of X is

The probability that there will be 1 to 3 (inclusive) earthquakes during the next year in this area P(1 ≤X≤3)

P = 0,721

Hence the probability that in a given year more than 5 earthquakes occur is 72.1%.

Learn more about probability, by the following link.

brainly.com/question/24756209

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