For a recent 41-year period, there were 5,469 major earthquakes; these are earthquakes measuring at least 6.0 on the Richter scale in the world
Calculate the probability that the number of major earthquakes in 2016 will be
between 131 and 133 inclusive

Question

anonymous · Answer

Richter scale is out dated

anonymous · Answer

third time i have seen this today
and for the third time i ask
poission distribution?

anonymous · Answer

oh nvm this one comes with no question attached, just a statement
previous ones had a question to go with it

anonymous · Answer

its poison but how do you use it?

anonymous · Answer

first find the average per year
that will be your $\lambda$

anonymous · Answer

what would be the x value?
the mean is 134

anonymous · Answer

$$P(x=131)=\frac{131^{134}e^{-134}}{131!}$$ whatever that is

anonymous · Answer

and then do you have to do it with 133 also?

anonymous · Answer

$$P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!}$$ in general

anonymous · Answer

yest 131,132,133

anonymous · Answer

so we'll have  3 different probabilities correct?

anonymous · Answer

actually i just checked and $\lambda =133.4$ rounded

anonymous · Answer

yah its 133.39 but we rounded it to the nearest whole number

anonymous · Answer

yes you have 3 and you have to add them up
this is an amazingly annoying calculation, but i guess you can do it with a calculator

anonymous · Answer

oh okay, makes sense 
thank you very much!

anonymous · Answer

yw